Question

Determine the coordinates of the midpoint of the line segment with endpoints C(-4,6) and D(-4,-3) A. (-4,1) B. (-4,1.5) C. (-4,3) D. (4,1.5)

Answer 1

Answer: (-4, 1.5)

Step-by-step explanation:

Points C and D are at locations (-4,6) and (-4,-3) respectively.

Add up the x coordinates: -4 + (-4) = -8

Then divide in half: -8/2 = -4

The x coordinate of the midpoint is -4.

Repeat the same idea for the y coordinates.

Add: 6 + (-3) = 3

Divide in half: 3/2 = 1.5

The y coordinate of the midpoint is 1.5

The location of the midpoint is (-4, 1.5)

Tools like GeoGebra and Desmos can be used to verify the answer.