What is the midpoint of a line segment with the endpoints (-6, -3) and (9, -7)?A.(-4.5, 1)B.(1.5, -5)C.(-5, 1.5)D.(1, -4.5)
Question
What is the midpoint of a line segment with the endpoints (-6, -3) and (9, -7)?
A. (-4.5, 1)
B. (1.5, -5)
C. (-5, 1.5)
D. (1, -4.5)
Solution
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula ((x1 + x2)/2, (y1 + y2)/2).
Here, the endpoints are (-6, -3) and (9, -7).
So, the x-coordinate of the midpoint is ((-6 + 9)/2) = 1.5 And the y-coordinate of the midpoint is ((-3 + -7)/2) = -5
So, the midpoint is (1.5, -5).
Therefore, the correct answer is B.(1.5, -5).
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