# How do you write the equation of the line that is perpendicular to the line #3x - 2y = 6# and passes through the point #(-1,2)#?

##### 1 Answer

Apr 29, 2017

When given a line of the standard form:

Swap "a" and "b":

Then change the sign of "a" or "b":

Find a new value for "c" by substituting in the given point.

#### Explanation:

Given:

Swap "a" and "b":

We shall change the sign of -2:

Determine a new value for c by substituting in the point,

The equation of the desired line is:

Here is a graph of the two lines and the point: