Question

What is the midpoint of the segment with end points (0,-2) and (-12,10)?

A) (-6, 4)
B) (-6, -4)
C) (-12, 6)
D) (6, -12)

Answer 1

The midpoint of the segment with end points (0, -2) and (-12, 10) is found using the midpoint formula, resulting in the midpoint (-6, 4), which corresponds to answer choice A.

Step-by-step explanation:

The midpoint of a segment with end points (0, -2) and (-12, 10) is found using the midpoint formula which is:

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

Substitute the given points into the formula:

M = ((0 + (-12)) / 2, (-2 + 10) / 2)

Calculate the averages for both the x and y coordinates:

M = ((-12 / 2), (8 / 2))

M = (-6, 4)

Therefore, the correct answer is A) (-6, 4).