Question

The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?

Answer 1

The perpendicular line would have a slope of A) -3/2.

Perpendicular lines have opposite and reciprocal slopes.

To do the opposite, take the original slope (2/3) and change the sign (-2/3).

To do the reciprocal, take the slope we changed (-2/3) and flip it as a fraction (-3/2).

This gives us a new slope of -3/2.