Question

The endpoints of a line segment are located at (–3, –4) and (–15, –20). What are the coordinates of the midpoint of the line segment? A. (–10.5, –14) B. (–9, –12) C. (–7.5, –10) D. (–6, –8)

Answer 1

Answer:

Answer B:  (-9, -12)

Step-by-step explanation:

I like to approach this problem by finding the halfway points in the x-direction and the y-direction, separately.

x-direction:  find the average of -3 and -15, which is -18/2, or -9.  The x-coordinate of the midpoint is therefore -9.

y- direction:  find the average of -4 and -20, which is -12.

Thus, the midpoint is located at (-9, -12)   (Answer B)