Find the midpoint M of the line segment joining the points A = −8, 2 and B = −4, 4.
Question
Find the midpoint M of the line segment joining the points
A = (−8, 2) and B = (−4, 4).
Solution
To find the midpoint M of a line segment joining two points A and B, we use the midpoint formula which is M = [(x1 + x2)/2 , (y1 + y2)/2].
Here, point A is (-8, 2) and point B is (-4, 4). So, x1 = -8, y1 = 2, x2 = -4, and y2 = 4.
Substitute these values into the midpoint formula:
M = [(-8 + -4)/2 , (2 + 4)/2] M = [-12/2 , 6/2] M = [-6, 3]
So, the midpoint M of the line segment joining the points A = -8, 2 and B = -4, 4 is M = -6, 3.
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