Question

are ab and cd parallel? a (-4,1) b(-1,3) c (3,1) d(0,-1) a. yes b. no

Explanation:

Step1: Calculate slope of AB

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For points $A(-4,1)$ and $B(-1,3)$, $m_{AB}=\frac{3 - 1}{-1-(-4)}=\frac{2}{3}$.

Step2: Calculate slope of CD

For points $C(3,1)$ and $D(0,-1)$, $m_{CD}=\frac{-1 - 1}{0 - 3}=\frac{-2}{-3}=\frac{2}{3}$.

Step3: Check parallel - slope condition

Two lines are parallel if their slopes are equal. Since $m_{AB}=m_{CD}=\frac{2}{3}$, lines AB and CD are parallel.

Answer:

A. yes