Question

PLEASE HELP!

The endpoints of CD are C(1,-6) and D(7,4). Find the coordinates of the midpoint M.

Answer 1

(4, -1)

Explanation:

Given:

C(1, -6)

D(7, 4)

Required:

Midpoint of CD using
`M((x_1 + x_2)/(2), (y_1 + y_2)/(2))`

SOLUTION:

`M((x_1 + x_2)/(2), (y_1 + y_2)/(2))`

Let
`C(1, -6) = (x_1, y_1)`

`D(7, 4) = (x_2, y_2)`

Thus:

`M((1 + 7)/(2), (-6 + 4)/(2))`

`M((8)/(2), (-2)/(2))`

`M(4, -1)`