# How do you write the slope-intercept equation for the line that is perpendicular to the line #-5x + 2y = 16# and passes through the point #(5, 7)#?

##### 1 Answer

Jun 30, 2017

Use the fact that slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line.

Substitute the point into the slope-intercept form to find the value of b.

#### Explanation:

Given:

Add 5x to both sides:

Divide both sides by 2:

We can observe that the slope of the line

The slope-intercept form is:

To find the value of b, substitute in the point

The equation is: