Learn How to Calculate Equation of Parallel Line - Tutorial

How to Calculate Equation of Parallel Line - Definition, Formula and Example

Definition

Parallel lines are the lines on a plane that do not meet each other.

Formula:

y = mx + c (y - y1) = m(x - x1) Where, m - slope x1,y1 - points
Example:

Find the equation of the line that passes through the point A(-2,4) and is parallel to the line y=3x-4.

Given,

y=3x-4 m=3 x1 = -2 y1 = 4

To Find,

Parallel line equation

Solution:
Step1:

Substitute the given values in the following formula, (y - y1) = m(x - x1) (y - 4) = 3(x - (-2)) (y - 4) = 3(x + 2) y - 4 = 3x + 6 y = 3x + 6 + 4 y = 3x + 10

Step2:

Substitute all the x values in the equations, y =3x+10 and y = 3x-4, which is shown in the below table.

x -10-9-8-7-6-5-4-3-2-1012345678910
y=3x+10 -20-17-14-11-8-5-21471013161922252831343740
y=3x - 4 -34-31-28-25-22-19-16-13-10-7-4-1258111417202326
Step3:

Two equations y=3x-4 and y =3x+10 are shown in graphical format in the below given Parallel line Graph

Equation of Parallel line Graph Equation of Parallel line

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