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 [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] 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.
[tex]x_1=-2\\y_1=9\\x_2=3\\y_2=-11[/tex]
Now substitute these values into the formula (remember that the formula has subtraction).
m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-11-9}{3--2}[/tex]
Simplify.
m=[tex]\frac{-11-9}{3+2}[/tex]
Subtract the values on top.
m=[tex]\frac{-20}{3+2}[/tex]
Now add the values on the bottom together.
m=[tex]\frac{-20}{5}[/tex]
Now divide -20 by 5.
m = -4
