Question

find the coordinates of the midpoint of the line joining the points (7,1) and (-1,3)

Answer 1

In order to find the midpoint of the points (7, 1) and (-1, 3), we can use as the x-coordinate the average of the x-coordinates and same for y. That is, for a pair of points (x1, y1) and (x2, y2), the midpoint is:

$\begin{gathered} M(x_m,y_m) \\ x_m=\frac{x_1+x_2}{2} \\ y_m=\frac{y_1+y_2}{2} \end{gathered}$

Now, calculating the midpoint, we have:

$\begin{gathered} x_m=\frac{7+(-1)}{2}=3 \\ y_m=\frac{1+3}{2}=2 \end{gathered}$

So the midpoint is (3, 2).