Question

one line passes through points a and b. another line passes through points c and d. classify the lines as parallel, perpendicular, or neither.
a(-9,2), b(0,-3)
c(8,-7), d(-4,-9)
show your work here
parallel
perpendicular
neither

Explanation:

Step1: Calculate slope of line AB

Use slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. For points $A(-9,2)$ and $B(0,-3)$, $m_{AB}=\frac{-3 - 2}{0-(-9)}=\frac{-5}{9}=-\frac{5}{9}$.

Step2: Calculate slope of line CD

For points $C(8,-7)$ and $D(-4,-9)$, $m_{CD}=\frac{-9-(-7)}{-4 - 8}=\frac{-2}{-12}=\frac{1}{6}$.

Step3: Check relationship

Parallel lines have equal slopes. Perpendicular lines have slopes whose product is - 1. $m_{AB}
eq m_{CD}$ and $m_{AB}\times m_{CD}=-\frac{5}{9}\times\frac{1}{6}=-\frac{5}{54}
eq - 1$.

Answer:

Neither