Q:

Which expressions can be used to find the coordinates of the midpoint of PQ with endpoints P(3, –1) and Q(–7, –6)? Check all that apply. can be used to find the x-coordinate of the point. can be used to find the y-coordinate of the point. (–7 – 3) + 3 can be used to find the x-coordinate of the point. (–6 – 1) – 1 can be used to find the y-coordinate of the point. – 1 can be used to find the y-coordinate of the point.

Accepted Solution

A:
You would conventionally find the midpoint M of two given points by finding their average:
  M = (P+Q)/2 = ((3-7)/2, (-1-6)/2) = (-2, -7/2)

You can also subtract one point from the other and add half the difference to the point that was subtracted.
&nbsp: M = P +(Q -P)/2 = (3 +(-7-3)/2, -1 +(-6-(-1))/2) = (3 -5, -1 -5/2) = (-2, -7/2)

It looks like there are some missing "divided by 2" from your answer choices.