# How do you write an equation of a line passing through (3, -2), perpendicular to #11x-7y=9#?

##### 1 Answer

Oct 11, 2016

Please see the explanation for how it is done.

#### Explanation:

Begin by writing the given line in slope-intercept form so that you can obtain the slope, m, by observation:

The slope, m, of the given line is:

The slope, n, of all lines perpendicular to the given line is:

The equation of all lines perpendicular is:

To find the desired line, we substitute the given point,