Question

A line segment is drawn between the points (5,8) and (-1,6). What are the coordinates of the midpoint of the segment?

Answer 1

Hello!

To find the midpoint of the line segment, use the formula:
`((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))`. In simpler terms, we are finding the average of the two points.

We can assign
`x_(1)` and
`y_(1)` to the point (5, 8), and (-1, 6) to
`x_(2)` and
`y_(2)`.

`((5+(-1))/(2), (8+6)/(2)) = ((4)/(2), (14)/(2)) = (2, 7)`

Therefore, the coordinates of the midpoint of the line segment is (2, 7).