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find the slope of bc. b(-1,3) a(-4,0) c(3,1) d(0,-1) a. -2 b. -1/2 c. -…

Question

find the slope of bc. b(-1,3) a(-4,0) c(3,1) d(0,-1) a. -2 b. -1/2 c. -1 d. 3/2

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify points B and C

Point B has coordinates $(-1,3)$ and point C has coordinates $(3,1)$. Let $(x_1,y_1)=(-1,3)$ and $(x_2,y_2)=(3,1)$.

Step3: Substitute values into formula

$m=\frac{1 - 3}{3-(-1)}=\frac{-2}{4}=-\frac{1}{2}$

Answer:

B. -1/2