# How do you find the equation of the line in slope-intercept form that is perpendicular to the line -4x - 3y = 9 and passes through (12, -7)?

##### 1 Answer

Aug 26, 2015

#### Explanation:

can be re-written in slope intercept form as:

and therefore has a slope of

Lines which are perpendicular to each other have slopes that are the negative reciprocal of one another.

Therefore any line perpendicular to

Since the desired line has a slope of

Simplifying:

or