Question

line $j$ has a slope of $\frac{-8}{5}$. line $k$ has a slope of $\frac{5}{8}$. are line $j$ and line $k$ parallel or perpendicular? parallel perpendicular neither

Explanation:

Step1: Recall parallel - slope condition

Parallel lines have equal slopes. Since $\frac{-8}{5}
eq\frac{5}{8}$, they are not parallel.

Step2: Recall perpendicular - slope condition

For two lines with slopes $m_1$ and $m_2$ to be perpendicular, $m_1\times m_2=- 1$. Calculate $\frac{-8}{5}\times\frac{5}{8}=-1$.

Answer:

perpendicular