Question

are bc and ad parallel? b(-1,3) a(-4,1) c(3,1) d(0,-1) a. yes b. no #7/14 < prev next >

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Calculate slope of BC

For points $B(-1,3)$ and $C(3,1)$, $m_{BC}=\frac{1 - 3}{3-(-1)}=\frac{-2}{4}=-\frac{1}{2}$.

Step3: Calculate slope of AD

For points $A(-4,1)$ and $D(0,-1)$, $m_{AD}=\frac{-1 - 1}{0-(-4)}=\frac{-2}{4}=-\frac{1}{2}$.

Step4: Determine parallelism

Since $m_{BC}=m_{AD}=-\frac{1}{2}$, lines BC and AD are parallel.

Answer:

A. yes