Answer:
m = -4
Step-by-step explanation:
We are given that a line intersects the points (-2, 9) and (3, -11).
We want to write the slope of this line.
The slope (m) can be found using the formula
, where
and
are points.
Even though we have everything we need to calculate the slope, let's label the values of the points to avoid any confusion & mistakes.

Now substitute these values into the formula (remember that the formula has subtraction).
m= 
m=
Simplify.
m=
Subtract the values on top.
m=
Now add the values on the bottom together.
m=
Now divide -20 by 5.
<u>m = -4</u>