Question

P divides a line segment AB into two equal halves.

P lies at (-1, 4) and B lies at (2,7).
What are the coordinates of A?

Answer 1

A(-4, 1)

Explanation:

The parts being equal means ...

A - P = P - B

A = 2P - B . . . . . . . . useful to remember for P being the midpoint of AB

A = 2(-1, 4) -(2, 7) = (-2-2, 8-7)

A = (-4, 1)