Answer:
E: L is perpendicular to a line with slope [tex]-\frac{3}{2}[/tex].
Lines are perpendicular if the negative reciprocal of the slope is equal. For example, the reciprocal of [tex]\frac{2}{3}[/tex] is [tex]\frac{3}{2}[/tex] (remember, to get the reciprocal, simply switch the numerator and the denominator).
So, the negative reciprocal of [tex]\frac{2}{3}[/tex] is [tex]-\frac{3}{2}[/tex]. This represents the slope of a line that is perpendicular.
