Question

the equation of line s is y = -7/8x + 9. the equation of line t is y = 8/7x + 8/5. are line s and line t parallel or perpendicular? parallel perpendicular neither

Explanation:

Step1: Recall slope - relationship rules

Parallel lines have equal slopes, perpendicular lines have slopes whose product is - 1.

Step2: Identify slopes of given lines

For line $s$: $y =-\frac{7}{8}x + 9$, slope $m_1=-\frac{7}{8}$. For line $t$: $y=\frac{8}{7}x+\frac{8}{5}$, slope $m_2 = \frac{8}{7}$.

Step3: Calculate product of slopes

$m_1\times m_2=-\frac{7}{8}\times\frac{8}{7}=- 1$. So the lines are perpendicular.

Answer:

perpendicular