Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2).

The generic equation of the line is:

Where,

(xo, yo): point where the line passes

m: slope of the line

We have the following equation:

Rewriting we have:

Since the lines are perpendicular, then the slope of the line is the inverse reciprocal.

We have then:

The point where the line passes is:

Substituting values we have:

the line that is perpendicular is:

Note: compare with Alejandro's steps, in order to find the error.