Question

what is the slope of the line passing through the points (-3, 4) and (2, -1)?
-1
-\frac{5}{3}
1
\frac{3}{5}

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 given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Here, $(x_1,y_1)=(-3,4)$ and $(x_2,y_2)=(2,-1)$.

Step3: Substitute values into formula

$m=\frac{-1 - 4}{2-(-3)}=\frac{-5}{2 + 3}=\frac{-5}{5}=-1$.

Answer:

A. $-1$