Question

what is the slope of the line passing through the points (-1, 7) and (4, -1)?

• $\frac{8}{5}$

2
-2

• $\frac{5}{6}$

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-1,7)$ and $(x_2,y_2)=(4,-1)$.

Step3: Substitute values into formula

$m=\frac{-1 - 7}{4-(-1)}=\frac{-8}{4 + 1}=\frac{-8}{5}$.

Answer:

A. $-\frac{8}{5}$