The slope of the line that is perpendicular to the line of AB is: 3.
What is the Slope of Perpendicular Lines?
If two lines are perpendicular to each other, their slopes will be the negative reciprocal of each other. i.e., if the slope of one is 3, the slope of the other would be -1/3.
Slope = change in y / change in x
Slope of AB = (-2 - 2) / (7 -(-5))
Slope of AB = -4/12
Slope of AB = -1/3
Negative reciprocal of -1/3 would be 3.
Therefore, the slope of the line that is perpendicular to the line of AB is: 3.
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