Question

find the slope of dc.
b(-1,3)
a(-4,1)
c(3,1)
d(0,-1)
a. 2/3
b. -2/5
c. 3/2
d. -5/2

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 coordinates of D and C

For points $D(0,-1)$ and $C(3,1)$, we have $x_1 = 0,y_1=-1,x_2 = 3,y_2 = 1$.

Step3: Substitute values into formula

$m=\frac{1-(-1)}{3 - 0}=\frac{1 + 1}{3}=\frac{2}{3}$.

Answer:

A. 2/3