# How do you find the slope of the line parallel to and perpendicular to #y=x+3#?

##### 1 Answer

Aug 26, 2017

See a solution process below:

#### Explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

Where

or

Therefore the slope of the line is:

**Parallel Lines**

Parallel lines by definition have the same slope. Therefore, the slope of a line parallel to the line in the problem will be:

**Perpendicular Lines**

Let's call the slope of a perpendicular line:

The formula for the slope of a perpendicular line is:

Substituting gives: