Question

Find the coordinates of the midpoint of the lines joining the following pairs of points:. 1. (3,-6) and (5,8). 2. (-4,-2) and (1,-3)​

Answer 1

1. (4, 1)
2. (-3/2, -5/2)

Explanation:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

M = (A +B)/2

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1.

M = (3 +5, -6 +8)/2 = (8, 2)/2 = (4, 1)

The midpoint coordinates are (4, 1).

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2.

M = (-4 +1, -2 -3)/2 = (-3, -5)/2 = (-3/2, -5/2)

The midpoint coordinates are (-3/2, -5/2).