# In the xy-coordinate plane, the slope of line L is 3 and its y-intercept is 2. what is the equation of the line perpendicular to L that intersects L at its y- intercept?

##### 1 Answer

Feb 13, 2017

#### Explanation:

First, we need to determine the slope of the line perpendicular to L. The slope of L, let's call it

And, because the y-intercepts are the same we can use the slope-intercept to find the equation for the line in the problem:

The slope-intercept form of a linear equation is:

Where

Substituting the slope we calculated and the y-intercept from the problem gives: