Question

Find the midpoint of the segment with the following endpoints.
(1,3) and (7,7)

Answer 1

(4, 5)

Step-by-step explanation:

Given:

Coordinate pair:

(1,3)

Coordinate pair:

(7, 7)

Midpoint formula:

M =
`(x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)`

We are basically averaging each point separately.

(x1, y1) represents one pair of coordinates while (x2, y2) represent the second set of coordinates.

We'll call (1,3) our first pair and (7, 7) our second.

Let's plug them in to find out the midpoint:

M =
`(x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)`

M =
`(1+7)/(2), (7+3)/(2)`

M =
`(8)/(2), (10)/(2)`

M =
`4, 5`

The midpoint is (4, 5).