Question

Give segment AB with A at (-3, 10) and B at (-2, 8), which is the midpoint?

Group of answer choices

(-5, 18)

(-0.5, 1)

(-2.5, 9)

(0.5, -1)

Answer 1

Midpoint = (-2.5, 9)

Explanation:

Given two endpoints (A and B in this case) of a segment, we can find its midpoint using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

• M are the coordinates of the midpoint,
• (x1, y1) are one endpoint,
• and (x2, y2) are the other endpoint.

Thus, we can find the midpoint of AB by substituting (-3, 10) for (x1, y1) and by substituting (-2, 8) for (x2, y2) in the midpoint formula:

M = (-3 - 2) / 2, (10 + 8) / 2

M = (-5) / 2, (18) / 2

M = (-2.5, 9)

Thus, the coordinates of the midpoint of AB are (-2.5, 9)