Question

Which expressions can be used to find the coordinates of the midpoint of PQ with endpoints P(3, –1) and Q(–7, –6)? Select three options.

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.

Answer 1

Midpoint = ((3 + (–7))/2, (–1 + (–6))/2) = (–2, –7/2).

The three correct expressions are:
- (3 + (–7))/2 for the x-coordinate,
- (–1 + (–6))/2 for the y-coordinate,
- (–7 – 3)/2 + 3 (which equals 3 + (–10)/2 = –2) for the x-coordinate.