Answer:
m = -4
Step-by-step explanation:
We are given the points (-7, -2) and (-2, -22), and we want to write the slope of the line.
The slope (m) can be calculated from two points 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.
We already have everything we need to calculate the slope, however, let's label their values to help avoid any confusion and mistakes for later.
[tex]x_1=-7\\y_1=-2\\x_2=-2\\y_2=-22[/tex]
Now, substitute these values into the formula. Remember that the formula has subtraction, and we're dealing with negative numbers here.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-22--2}{-2--7}[/tex]
Simplify.
m=[tex]\frac{-22+2}{-2+7}[/tex]
Add.
m=[tex]\frac{-20}{5}[/tex]
Divide.
m = -4
The slope of the line is -4.
Topic: slope
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