Question

graph the line containing the given pair of points and find the slope.
(-4,5), (1, -3)

use the graphing tool on the right to graph the line. make sure to use the
two given points when graphing the line.

find the slope of the line. select the correct choice below and, if necessary,
fill in the answer box to complete your choice.

a. ( m = )
(type an integer or a simplified fraction.)
b. the slope is undefined.

Explanation:

Step1: Recall slope formula

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

Step2: Assign point values

Let $(x_1,y_1)=(-4,5)$ and $(x_2,y_2)=(1,-3)$.

Step3: Substitute into formula

$m=\frac{-3-5}{1-(-4)}=\frac{-8}{5}$

Answer:

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