Question

In in the exercise 15 the endpoint of CD are given find the coordinates of the midpoint m​

Answer 1

`M(5,2)`

Explanation:

The coordinates of M are calculated using the midpoint formula:

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

where
`(x_1,y_1)=C(3,-5)` and
`(x_2,y_2)=D(7,9)`

We substitute into the formula to obtain:

`M((3+7)/(2),(-5+9)/(2) )`

We simplify to get:

`M((10)/(2),(4)/(2) )`

The coordinates of the midpoint of CD are:

`M(5,2)`