Answer:
The slope is -2
Step-by-step explanation:
Hi there!
We are given the points (-4, 6) and (3, -8)
We want to find the slope (m) of the line that passes through these points
We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to calculate the slope, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.
[tex]x_1=-4\\y_1=6\\x_2=3\\y_2=-8[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-8-6}{3--4}[/tex]
Simplify:
m=[tex]\frac{-8-6}{3+4}[/tex]
m=[tex]\frac{-14}{7}[/tex]
Divide
m = -2
The slope of the line is -2
Hope this helps!
See more on calculating slope from 2 points here: https://brainly.com/question/26738734
