How to find parallel equation

• Then, substitute the straight-line equation and find out the value of y. If the equation of the line is ax + by + c = 0 and coordinates are (x1, y1), the slope should be -a/b. If two lines are parallel to each other, the slopes of both line are equal. Consider m1 and m2 be the slopes of the two lines. \ [\large Parallel\;Lines=m_ {1}=m_ {2}\]An electrical circuit is a path or line through which an electrical current flows. A parellel circuit on the other hand, has two or more paths for current to flow through. Voltage is the same across each component of the parallel circuit. The sum of the currents through each path is equal to the total current that flows from the source.Jul 20, 2017 · In this video, we are going to look at parallel lines. You should already know that straight lines follow the equation y=mx+c and how to find the gradient. O... Watch on. In this lesson we’ll learn about the qualities that make up parallel and perpendicular lines and how to identify them on a graph or in an equation. Remember, opposites are numbers with different signs, as a variable they can be expressed as m and -m (although this doesn’t mean that m is the positive number and -m is the negative ... a 2015 nissan altima How to Use the Calculator. Enter the number n of impedances in parallel as a whole number and press "Enter". Then enter the values of the impedances as complex numbers of the form a + b j, where the real part a is on the left column of the table and the imaginary part b is on the right column of the table and press "Update/Calculate".Use the methods presented to find the equivalent resistance of the piping system shown in Figure 5. All four parallel paths are 1/2-inch PEX tubing, and the average water temperature in the system is 100 degrees F. Also assume the common piping path consists of 20 feet of 1" copper with eight 90-degree elbows.Writing Equations of Parallel Lines. If we know the equation of a line, we can use what we know about slope to write the equation of a line that is either parallel or perpendicular to the given line. Suppose we are given the following function: $f\left(x\right)=3x+1$ We know that the slope of the line is 3.Solution: The given equation of a line is y = 2x + 3. Comparing this with the slope-intercept form of the equation of line y = mx + c, we have m = 2. The required slope of the parallel line is equal to the slope of this given line and is equal to 2. Also, the given point (-1, 2) is not required to find the slope of the parallel line.Find angles. Given parallel lines. Prove equal angles. Given angle bisector. Prove isosceles triangle. Given median and equal segments. Equilateral Triangles . Find area. Given perimeter. ... Find ratio between diagonal and segment. Given diagonals and altitude. Prove 90-degree angle. Given angle bisectors.V1 = 1/2 * (60 m/s) V1 = 30 m/s. Since the given vectors can be related to each other by a scalar factor of 2 or 1/2, we can conclude that the two velocity vectors V1 and V2, are parallel to each other. Example 2. Given two vectors, S1 = (2, 3) and S2 = (10, 15), determine whether the two vectors are parallel or not.Perpendicular line calculator - Find Parallel Line with Equation. The equation of the line is y=mx+r y = m x + r which is used by perpendicular line calculator. And the coordinates of the point of the line are xj … >>>. pick a number from 1 9great clips east town With that equation we can now ..... choose any value for x and find the matching value for y. For example, when x is 1: y = 2×1 + 1 = 3. Check for yourself that x=1 and y=3 is actually on the line. Or we could choose another value for x, such as 7: y = 2×7 + 1 = 15. And so when x=7 you will have y=152010 ж. 28 ақп. ... In the equation y = mx + c, m is the slope. To calculate the slope of a line that is parallel to another line, you have to consider the rule m1 ...Finally, using the table method, we can now easily determine the total effective resistance of our parallel circuit. Applying Ohm's law to the Total column, we can calculate the total circuit resistance with the result shown in Table 10. Table 10. Calculating the total effective resistance of the parallel circuit.The equation of a line in the slope-intercept form is. y = mx + b y = m x + b. Example: Consider a line with a slope of 2 2 and a y-intercept of 3 3. Its equation would be y = 2x + 3 y = 2 x + 3. This means that for every unit increase in x x, y y increases by 2 2 units, and the line crosses the y-axis at the point (0, 3) ( 0, 3). hair salons near columbus oh Take a simple line equation: y = ax+ b y = a x + b. Where x is the x-coordinate, y is the y-coordinate, "a" and "b" are coefficients. And the coordinates of the point of the line are x and y. If two lines are parallel with the same slop. Then, according to the perpendicular slope formula: a= m a = m. hope thesuarus2015 gs 350 f sport for sale Finding the Distance Between Two Parallel Lines Given the Equations of the Lines: Vocabulary and Equations. Parallel Lines: Parallel lines are lines that have the same slope. Parallel lines never ... By using Ohm’s Law, we can calculate the current flowing through each parallel resistor shown in Example No2 above as being: The current flowing in resistor R1 is given as: IR1 = VS ÷ R1 = 12V ÷ 22kΩ = 0.545mA or 545μA. The current flowing in resistor R2 is given as: IR2 = VS ÷ R2 = 12V ÷ 47kΩ = 0.255mA or 255μA.AboutTranscript. The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations. 1800 pack rat sizes To find the distance between two planes using the point-plane distance formula, we can follow the steps given below: Step 1: Convert the equations of the two planes into the standard format, i.e., ax + by + cz + d = 0. Step 2: Check if the planes are parallel.What it is. A combined network is any combination of series and parallel circuits wired together. Consider finding the equivalent resistance of the network shown below. We see the resistors R 1 and R 2 are connected in series. So their equivalent resistance (let us denote it by R s) is: R s = R 1 + R 2 = 100 Ω + 300 Ω = 400 Ω.; Next, … make a new email address gmail In order for two lines to intersect, they cannot be parallel. Thus, we need to look at each of the choices and determine whether or not each line is parallel to line q, given by the equation 2x – 3y = 4. To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. Rtotal Method. Calculate the total resistance of the parallel circuit by using the equation 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn. This equation states that by adding the inverses of all of the individual resistors, you will get the inverse of the total resistance. Pretend that you have two resistors in parallel, and each is four ohms.This expression looks just like Ohm's Law, v = i\,\text R v = iR, but with the parallel resistors appearing in a double-reciprocal in place of of a single resistor. We conclude: For resistors in parallel, the overall resistance is the reciprocal of the sum of reciprocals of the individual resistors. Purplemath. There is one other consideration for straight-line equations: finding parallel and perpendicular lines.Here is a common format for exercises on this topic: Given the line 2x − 3y = 9 and the point (4, −1), find lines, in slope-intercept form, through the given point such that the two lines are, respectively,:A box with a mass of 22kg is at rest on a ramp inclined at 45 degrees to the horizontal. The coefficient of friction between the box and the ramp are us = 0.78 and uk = 0.65. a) Determine the magnitude of the largest force that can be applied upward, parallel to the ramp, if the box is to... lexus new orleans Let's see how to identify parallel and perpendicular lines. Explanation: Let's take some examples to understand this. Parallel lines: Considering two equations: y = 2x +3 and y = 2x+5 . On comparing y = 2x +3 and y = 2x+5 with y = mx + c. Both the lines have the same slope, m = 2, and we know that, Lines with the same slope are parallel.Take a simple line equation: y = ax+ b y = a x + b. Where x is the x-coordinate, y is the y-coordinate, “a” and “b” are coefficients. And the coordinates of the point of the line are x and y. If two lines are parallel with the same slop. Then, according to the perpendicular slope formula: a= m a = m.As per title, I would like the equation to calculate the effective failure rate of a system or branch of parallel/redundant components whose failure rates follow a Weibull distribution. I found what I need for components whose failure rate is described by an exponential distribution at pag. 394 (table 6.2.1-3, equation 1) of the book "system ... Question 4: Explain how can one find a parallel line? Answer: Two lines are parallel in case they both have the same slope. For example, ascertain the slope of the line that is parallel to the line 4x – 5y = 12. In order to find the slope of this line, one must get the line into slope-intercept form (y = mx + b). So, one must solve for y.1. Because of the rules around homework I will not give you the final solution, only the roadmap to it. Assuming all resistances are parallel (if this isn't the case, edit your question) we have the following equality: 1 Requivalent = 1 R1 + 1 R2 + 1 R3 1 R e q u i v a l e n t = 1 R 1 + 1 R 2 + 1 R 3. Tension is probably a literal translation ...Two or more resistors are said to be connected in parallel when the voltage is the same across all the resistors. In such circuits, the current is branched out and recombined when branches meet at a common point. A resistor or any other component can be connected or disconnected easily without affecting other elements in a parallel circuit. boat trader washington stateava addams guf The equations of tangent lines that are parallel is y-y1 = (1/2) (x-1) for all y1 in real numbers. Solution: The slope of given curve is dy/dx = 2/ (x+1)^2 We have to find equations of tangent lines that are parallel that means If we take any two tangent lines at (x1,y1) and at (x2,y2) that are parellal then slopes of those equations should be ...To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula. Step 3. Use the slope and a given point to substitute for and in the point-slope form, which is derived from the slope equation. Step 4. Simplify the equation and keep it in point-slope form. Step 5.how to determine if two lines are parallel or perpendicular when given their slopes, how to find the equation of a line given a point on the line and a line ...The parallel resistor calculator has two different modes. The first mode allows you to calculate the total resistance equivalent to a group of individual resistors in parallel. In contrast, the second mode allows you to set the desired total resistance of the bunch and calculate the one missing resistor value, given the rest.. To keep it simple, we only show you a few rows to input numbers ...If you assume they are on the original line, then you would get the wrong value for y intercept. Lets try: say y = 2x + 3 and you want a perpendicular that goes through (-2,4) Rather than point slope, I will use the slope intercept equation and substitute. y = =1/2 x + b, so 4 = -1/2 (-2) + b, 4 = 1 + b, b = 3 and your perpendicular equation is ...2. "P" polarization is the parallel polarization, and it lies parallel to the plane of incidence. 1. "S" polarization is the perpendicular polarization, and it sticks up out of the plane of incidence The plane of the interface (y=0) is perpendicular to this page. Here, the plane of incidence (z=0) is the plane of the diagram. x y z I R THow to find an equation of the plane passing through a line and parallel to the line of intersection of two other planes 2 Describe all planes perpendicular to a plane, and all lines parallel to two given planes.Question 4: Explain how can one find a parallel line? Answer: Two lines are parallel in case they both have the same slope. For example, ascertain the slope of the line that is parallel to the line 4x – 5y = 12. In order to find the slope of this line, one must get the line into slope-intercept form (y = mx + b). So, one must solve for y.Question 2: Find a vector normal to the plane R. Find a vector equation of the line that is perpendicular to the plane R and passes through the point (0,0,−1). Attempted Answer: Don't know how to start this one and help on how to start would be appreciated. Question 3: Find a vector equation of the line in the intersection of Q and R. toyota corolla reliability In y=mx+b format, the m represents the slope. In the equation y=10x+2, the slope (m) is 10. When dealing with parallel lines, the slope is the same. (This is because the lines will never intersect). Since we know that the new line will have the same slope, we will write the following new information down. m = 10 (the parallel slope)Formula for resistors in parallel is, 1/Rp = (1/4)+(1/5) 1/Rp = 9/20. Rp = 20/9 So, Rp = 2.222Ω. Resistors In Series Formula. Resistors can be arranged in series form too such that the current flows through the resistors in series. Following is the table of formulas for parameters like the current, voltage and total resistance:Answer. Part 1. In the figure, a line parallel to side 𝐵 𝐶 is intersecting the other two sides of the triangle. The side splitter theorem tells us that this line divides those sides proportionally. Labelling this line segment as 𝐷 𝐸, we obtain 𝐴 𝐷 𝐷 𝐵 = 𝐴 𝐸 𝐸 𝐶.Edit: since the tangent is parallel to the given line: 3 x − y = 2 hence the slope of tangent line to the parabola is − 3 − 1 = 3. Let the equation of the tangent be y = 3 x + c. Now, solving the equation of the tangent line: y = 3 x + c & the parabola: y = x 2 − 3 x − 5 by substituting y = 3 x + c as follows. 90 pound to usd Examples: A, B, C are midpoints of their respective lines. Find the vector OB. N = midpoint of OB, M = midpoint of OA. Show that MN is parallel to AB. Given the vectors, prove that the three given points are collinear. Show Video Lesson.May 11, 2023 · By using Ohm’s Law, we can calculate the current flowing through each parallel resistor shown in Example No2 above as being: The current flowing in resistor R1 is given as: IR1 = VS ÷ R1 = 12V ÷ 22kΩ = 0.545mA or 545μA. The current flowing in resistor R2 is given as: IR2 = VS ÷ R2 = 12V ÷ 47kΩ = 0.255mA or 255μA. A parallel circuit is constructed by connecting the terminals of all the individual load devices so that the same value of voltage appears across each component. Figure 19. Parallel circuit. The voltage across each branch is the same. There are three separate paths (branches) for current to flow, each leaving the negative terminal and returning ... ugg outlet near me Finding the equation when given a parallel line in standard form is super easy. Just take the Ax+By part and plug in the given point for x and y. This will give you a C value which will be used for the new line. 8x−9y= 8 (2)−9 (3)= 16−27=−11 So the equation of the line is: 8x−9y=−11. Test Yourself: Find an equation of a line ...Ohm's Law Parallel Circuit. Ohm's law states that the current through a conductor between two points is proportional to the voltage drop across the two points. Mathematically, this can be written ...In this video, we'll see an example of how to solve for the equation of a line parallel to another line, using the slope-intercept form. In this video, we'll see an example of how to solve for the ...Parallel force systems are those in which forces act in the same direction. The opposite of a parallel force system is a perpendicular force system, which is a system that has forces acting at right angles to each other.Course: High school physics > Unit 12. Lesson 3: Series and parallel resistors. Series resistors. Parallel resistors (part 1) Parallel resistors (part 3) Calculating equivalent resistance for series and parallel resistors. Resistors in series and parallel review. Science >.For the pair of equations, determine whether their graphs would be parallel, perpendicular, or neither. 2x + 5y = 4, 4x + 10y = 1. Find an equation of a line that passes through the point (-1, 8) and is parallel to 3x + 4 (y - 1) = 3 and perpendicular to 3x + 4 (y - 1) = 3. good enough crossword cluewomen's nike legacy The two resistors that are in series are grouped as Req1 in the equivalent circuit below and their resistance is given by the sum. Req1 = 100 + 400 = 500 Ω. The two resistors that are in parallel are grouped as Req2 in the equivalent circuit below and their resistance is given by the equation. 1 / Req2 = 1 / 100 + 1 / 200.How to Construct Two Parallel Lines: Drawing parallel lines without a ruler can be hard. Here, i show you how with just a straightedge and a compass. (NO RULERS) 312,977 4 14 Drawing parallel lines without a ruler can be hard. Here, i show... lennox sales rep Solution: The given equation of a line is y = 2x + 3. Comparing this with the slope-intercept form of the equation of line y = mx + c, we have m = 2. The required slope of the parallel line is equal to the slope of this given line and is equal to 2. Also, the given point (-1, 2) is not required to find the slope of the parallel line.Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.To compute the equation of the line passing through points (x1, y1) and (x2, y2): Compute the slope as a = (y2-y1) / (x2-x1). Compute the intercept as b = y1 - a × x1. The equation you need reads y = a × x + b, with a an b computed as above. If x2 = x1, you cannot compute a — the line is vertical and has equation x = x1. 104 inches to feet Watch on. In this lesson we'll look at how to use the slopes of two lines in the Cartesian plane (the xy-plane) to see if the lines are perpendicular, parallel, or neither. Parallel lines have equal slopes and will never intersect each other because they'll always be the same distance apart. Perpendicular lines have slopes that are negative ...Example Question #8 : How To Find The Equation Of A Parallel Line. Write the equation for a line parallel to passing through the point . Possible Answers: Correct answer: Explanation: In order to approach this problem, we need to be familiar with the slope-intercept equation of a line, where m is the slope and b is the y-intercept.👉 Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is...22. When we find the electric field between the plates of a parallel plate capacitor we assume that the electric field from both plates is. E = σ 2ϵ0n.^ E = σ 2 ϵ 0 n. ^. The factor of two in the denominator comes from the fact that there is a surface charge density on both sides of the (very thin) plates. This result can be obtained easily ... mop haircut boylas cruces craigslist auto parts Resistors offer resistance to the flow of current in a circuit The effective resistance depends on the connection; whether it is connected in series or parallel. Check this page to find the difference in its formula.Connecting them in parallel, we get equivalent resistance = 1/ (1/484 + 1/484) = 242 ohms. So we have a circuit with equivalent resistance of 242 ohms and 220 Volt. So the equivalent power is P = V^2/R = 200 W. We get the same result by P (eq) = P1 + P2. Connecting them in series, we get equivalent resistance of 968 ohm.Inconsistent System. i) Consider the equation of the lines to be-. \ (\begin {array} {l}a_1 x + b_1 y + c_1 = 0 \ and \ a_2 x + b_2 y + c_2 = 0\end {array} \) Let both the lines to be parallel to each other, then there exists no solution because the lines never intersect. Algebraically, for such a case, a 1 /a 2 = b 1 /b 2 ≠ c 1 /c 2, and the ... happy ending massage finder Line equation through point, parallel to plane and intersecting line 1 Get a point on a line segment parallel to another line segment having common intersection lineThe equivalent resistance of several resistors in parallel is given by: 1 Req = n ∑ i=1 1 Ri = 1 R1 + 1 R2 +⋯+ 1 Rn 1 R e q = ∑ i = 1 n 1 R i = 1 R 1 + 1 R 2 + ⋯ + 1 R n. To quickly calculate the equivalent resistance value of two resistors in parallel, you can use the parallel resistor calculator.Join us on this math lesson where you will learn how to find the slopes of parallel and perpendicular lines and equations, parallel slope, perpendicular slop...Solution. We know that the formula for the distance between two parallel planes ax + by + cz + d1 = 0 and ax + by + cz + d2 = 0 is Rewrite the second equation as x + 2y – 2z + 5/2 = 0. Comparing the given equations with the general equations, we get a = 1, b = 2, c = −2, d1=1, d2 = 5/2. Substituting these values in the formula, we get the ...In this video we are given a function and asked to find a line that is tangent to it and also parallel to a given line. In this video I use derivative rules ... antique lamp shades for floor lamps 👉 Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slop...Calculate parallel distance between vector and point. 2. Why can't we use the same formula for finding distance between skew lines and parallel lines? Hot Network Questions Why should I seek to determine the ultimate nature of reality (i.e. whether God exists or not)? squishmallows for boys Working of Capacitors in Parallel. In the above circuit diagram, let C 1, C 2, C 3, C 4 be the capacitance of four parallel capacitor plates. C 1, C 2, C 3, C 4 are connected parallel to each other. If the voltage V is applied to the circuit, therefore in a parallel combination of capacitors, the potential difference across each capacitor will ...Pentagons are polygons that contain five sides, so the parallel planes are parallel pentagons. Example 7. Determine whether the planes, 4 x – 5 y + 2 z = 5 and 8 x − 10 y + 4 z = 12 , are parallel. Solution. Recall that two planes are parallel when the ratios of their coefficients share the relationship shown below. The given equation of the line is 7x + 4y - 28 = 0. Further this equation is changed to the intercept form to find the y-intercept. 7x + 4y = 28. 7x/28 + 4y/28 = 1. x/4 + y/7 = 1. The y-intercept of this line is 7, and it cuts the y-axis at the point (0, 7). The required equation of line parallel to the x-axis and cutting equal intercept on the ...RParallel = N N + 1R1 (4.3.4) Equation 4.3.4 is useful for quick estimates of parallel resistor pairs. For example, if we have a 24 k Ω resistor in parallel with an 8 k Ω resistor, that's a ratio ( N) of 3:1. Thus the equivalent will be N/(N + 1), or 3/4ths, of the smaller resistor, yielding 6 k Ω.The Points. We use Cartesian Coordinates to mark a point on a graph by how far along and how far up it is:. Example: The point (12,5) is 12 units along, and 5 units up. Steps. There are 3 steps to find the Equation of the Straight Line:. 1. Find the slope of the line; 2. Put the slope and one point into the "Point-Slope Formula" 8000 btu ac portable example 1: Determine the equation of a line passing through the points and . example 2: Find the slope - intercept form of a straight line passing through the points and . example 3: If points and are lying on a straight line, determine the slope-intercept form of the line.Find the equation of a parallel line step-by-step. parallel-line-calculator. en. Related Symbolab blog posts. Slope, Distance and More. Ski Vacation? Nope, this is serious stuff; it's about finding the slope of a line, finding the equation of a line... Read More. Enter a problemThe gradient or slope of parallel lines is the steepness of that line in the graph. The gradient of parallel lines is calculated with respect to the positive x-axis of the graph and parallel lines are inclined with the positive x-axis. We know from above that the equation for parallel lines is y = m x + b.Formula for resistors in parallel is, 1/Rp = (1/4)+(1/5) 1/Rp = 9/20. Rp = 20/9 So, Rp = 2.222Ω. Resistors In Series Formula. Resistors can be arranged in series form too such that the current flows through the resistors in series. Following is the table of formulas for parameters like the current, voltage and total resistance:To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula. Step 4. Use the slope 5 5 and a given ... 5 ounces to kgthe back of short haircuts Figure 8.3.1 8.3. 1: (a) Three capacitors are connected in series. The magnitude of the charge on each plate is Q. (b) The network of capacitors in (a) is equivalent to one capacitor that has a smaller capacitance than any of the individual capacitances in (a), and the charge on its plates is Q. We can find an expression for the total ... sand filter drain plug replacement To find total resistance R T across the circuit, solve for it in the equation 1 / RT = 1 / R1 + 1 / R2 + 1 / R3 + ... where each R on the right-hand side represents the resistance on one branch of the circuit.  For example, a circuit has two resistors in parallel, each with 4Ω resistance. 1 / RT = 1 /4Ω + 1 /4Ω → 1 / RT = 1 /2Ω → R T ...Decide whether the vectors ( 1 2, 1 8) and ( 2, 3) are parallel. You begin by splitting this into two equations, one for the x -coordinates and one for the y -coordinates. 1 2 = k ⋅ 2 1 8 = k ⋅ 3 k = 6 k = 6 Because the value for k are equal for both the x - and y -coordinates, you know that the vectors are parallel.To find a parallel line, write an equation with the same slope and a different y-intercept. To find a perpendicular line, write an equation with a slope that is the opposite reciprocal of the ... thinly synonym In parallel connection of Modules, the positive pole is connected to the positive pole and the negative pole to the negative pole. The capacity (A) of the individual Modules then adds up while the total voltage corresponds to the voltage of the individual Modules. Basically, only Modules with the same voltage should be connected in parallel.Voltage (i.e. a potential difference) is the reason that current passes through a closed circuit. This article will discuss in detail voltages in a parallel circuit. A Circuit with a Voltage Source and 3 Resistors in Parallel. The multiple branch lines in a circuit mean there are several pathways for the charge to move to the external circuit.How do you find the equation of a line? To find the equation of a line y=mx-b, calculate the slope of the line using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. Substitute the value of the slope m to find b (y-intercept).y − y 1 = m (x − x 1) The equation is useful when we know: one point on the line: (x1, y1) and the slope of the line: m, and want to find other points on the line. Have a play with it (move the point, try different slopes): Now let's discover more.You look at the slope (which either is clearly visible in the equation or you can compute it easily from the coefficients of x and y in the equation). If slopes are the same then the lines are either equivalent (both equations describe the same line) or parallel (and thus do not intersect). Two lines with different slopes will always intersect. synonym for praise In order for two lines to intersect, they cannot be parallel. Thus, we need to look at each of the choices and determine whether or not each line is parallel to line q, given by the equation 2x – 3y = 4. To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal.how to determine if two lines are parallel or perpendicular when given their slopes, how to find the equation of a line given a point on the line and a line ...The information about a vector that is parallel to a line is as important as the information about the normal to a plane. It comes in handy in almost all applications involving lines, such as finding the distance of a point from the line, finding the image of a point with respect to a line, finding the angle between a line and a plane, etc..You may already be familiar with the y=mx+b form (called the slope-intercept form of the equation of a line). It is the same equation, in a different form! The "b" value (called the y-intercept) is where the line crosses the y-axis. So point (x 1, y 1) is actually (0, b) and the equation becomes: