Question

What is the midpoint of PQ with endpoints P (–3, 4) and Q (5, –8)

Answer 1

The coordinates of the midpoint are: (1, -2)

Explanation:

We use the formula for midpoint coordinates knowing the end points (x1, y1) (x2, y2):

xm = x1 + (x2-x1)/2

in our case:

xm = -3 + (5 - - 3)/2 = - 3 + (8/2) = -3 + 4 = 1

ym = y1 + (y2-y1)/2

in our case:

ym = 4 + (- 8 - 4)/2 = 4 + (-12/2) = 4 - 6 = -2

The coordinates of the midpoint are: (1, -2)