Question

line d has a slope of $\frac{-2}{9}$. line e has a slope of $\frac{9}{2}$. are line d and line e parallel or perpendicular? parallel perpendicular neither

Explanation:

Step1: Recall parallel - slope condition

Parallel lines have equal slopes. Since $-\frac{2}{9}
eq\frac{9}{2}$, the lines are not parallel.

Step2: Recall perpendicular - slope condition

For two lines with slopes $m_1$ and $m_2$, they are perpendicular if $m_1\times m_2=- 1$. Calculate $-\frac{2}{9}\times\frac{9}{2}=-1$.

Answer:

perpendicular