# Parallel Line Equation

How to find the linear equation that is parallel to the given line: definition, 1 example, and its solution.

## Definition

### Definition

Parallel Lines are the lines that have the same slope

and have the different y-intercepts.

### Symbol

The triangle symbols are used

to show that the lines are parallel.

## Example

### Example

### Solution

It says the line is parallel to y = 3x + 4.

So the slope of the line you're looking for is

m = 3.

The slope, m, is 3.

And the line passes through (1, -2).

So the linear equation in point-slope form is

y = 3(x - 1) - 2.

Change the linear equation to slope-intercept form.

Then y = 3x - 5.

So y = 3x - 5 is the answer.

### Graph

The left line is the given line y = 3x + 4.

And the right line is the answer y = 3x - 5.

y = 3x - 5 is parallel to y = 3x + 4.

And it passes through (1, -2).