Question

Find the midpoint of AB. A is at (7,-8) and B is at (-3, 6).

Answer 1

The midpoint is the average of the x coordinates and the average of the y coordinates given.

Given the 2 pair of points:

A = (7, - 8)

B = (-3, 6)

Let the midpoint have coordinates (x, y).

To find x, we take the average of x-coordinates of A and B, shown below.

$\begin{gathered} x=\frac{7-3}{2} \\ x=\frac{4}{2} \\ x=2 \end{gathered}$

To find y, we take the average of y-coordinates of A and B, shown below.

$\begin{gathered} y=\frac{-8+6}{2} \\ y=-\frac{2}{2} \\ y=-1 \end{gathered}$

The midpoint is (2, -1)