Question

the equation of line j is y = $\frac{-8}{7}$x + 7. the equation of line k is y = $\frac{7}{8}$x + 2. are line j and line k parallel or perpendicular? parallel perpendicular neither

Explanation:

Step1: Identify the slopes

The slope of line $j$ is $m_j =-\frac{8}{7}$, and the slope of line $k$ is $m_k=\frac{7}{8}$.

Step2: Check parallel - condition

Parallel lines have equal slopes. Since $-\frac{8}{7}
eq\frac{7}{8}$, they are not parallel.

Step3: Check perpendicular - condition

For perpendicular lines, the product of slopes is - 1. Calculate $m_j\times m_k=-\frac{8}{7}\times\frac{7}{8}=- 1$.

Answer:

perpendicular