# What is the equation of the line that passes through the point (-2,3) and that is perpendicular to the line represented by 3x-2y= -2?

##### 1 Answer

Or

#### Explanation:

First, we need to convert the line into slope-intercept form to find the slope.

The slope-intercept form of a linear equation is:

Where

We can solve the equation in the problem for

So for this equation the slope is

A line perpendicular to this line will have a slope which is the negative inverse of our line or

We can now use the point-slope formula to write the equation for the perpendicular line:

The point-slope formula states:

Where

Substituting the point from problem and the slope we calculated gives:

Or, we can put the equation in the more familiar slope-intercept form by solving for