Find the gradient of the line segment between the points (5,-2) and (3,-8).
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Given:
Point A on the line segment = (5, -2)
Point B on the line segment= (3, -8)
To find:
Gradient of the line segment.
Solution:
The gradient of a line segment is the slope of the line segment which is a measure of the steepness of the line:
Gradient = change in y/ change in x = y₂-y₁/ x₂-x₁
= -2-(-8)/ 5-3
=8-2/5-3
=6/2 = 3
Therefore the gradient of the line segment is 3.
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