The midpoint of AB if A is (-4, -1) and B is (10, 5) is the point (3, 2). Hence, option c is the right choice.
What is the midpoint formula?
The midpoint formula of a line segment XY, where X is (x1, y1) and
Y is (x2, y2) is given by point M = ((x1+x2)/2, (y1+y2)/2).
How do we solve the given question?
We are asked to find the midpoint of AB, given A is (-4, -1) and B is (10, 5).
We use the midpoint formula to find it.
Taking A (-4, -1) as (x1, y1) and B (10, 5) as (x2, y2), we substitute the values in the formula: M = ((x1+x2)/2, (y1+y2)/2).
∴ M = ((-4 + 10)/2, (-1 + 5)/2)
or, M = (6/2, 4/2)
or, M = (3, 2)
∴ The midpoint of AB if A is (-4, -1) and B is (10, 5) is the point (3, 2). Hence, option c is the right choice.
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