Question

Find the midpoint of the line segment joining the points C= (4,7) and D= (-2,-3)

Answer 1

(1, 2)

Explanation:

Hi there!

We are given two points - (4, 7) and (-2, -3)

We want to find the midpoint between these two points

The midpoint can be found using the formula
`((x_1 + x_2)/(2), (y_1+y_2)/(2))`, where
`(x_1, y_1)` and
`(x_2, y_2)` are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion & mistakes

`x_1=4\\y_1=7\\x_2=-2\\y_2=-3`

Now substitute into the formula

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

`((4+ -2 )/(2), (7+-3)/(2))`

The pluses can be replaced with minus signs:

`((4 -2 )/(2), (7-3)/(2))`

Now subtract

`((2 )/(2), (4)/(2))`

Divide

(1,2)

The midpoint is (1, 2)

Hope this helps!