# 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 -1 0 1 2 3 4 5 6 7 8 9 10 y=3x+10 -20 -17 -14 -11 -8 -5 -2 1 4 7 10 13 16 19 22 25 28 31 34 37 40 y=3x - 4 -34 -31 -28 -25 -22 -19 -16 -13 -10 -7 -4 -1 2 5 8 11 14 17 20 23 26
###### 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 