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Sagot :
The slope of the line that is passing through the points (-2, 7) and (4, -9) is equal to -8/3.
In order to determine the slope of any line passing through any two points (x₁, y₁) and (x₂, y₂) is expressed as
m = (y₂ - y₁)/(x₂ - x₁)
where m is the slope and (y₂ - y₁) and (x₂ - x₁) are difference between y and x coordinates respectively.
We have the points (-2, 7) and (4, -9)
m = (-9 - 7)/(4 + 2)
m = -16/6
m = -8/3
Now, we have the points (3, -5) and (8, 7) so slope will be
m = (7 + 5)/(8 - 3)
m = 12/5
Now, we have the points (-2, 4) and (5, -1) so the slope will be
m = (-1 - 4)/(5 + 2)
m = -5/7
Now, we have the points (2, 7) and (-1, 3) so the slope will be
m = (3 - 7)/(-1 - 2)
m = 4/3
Learn more about Slope at:
brainly.com/question/3493733
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