Question

Find the midpoint of the line segement with the given endpoints
1) (2,-6) , (-2,10)

Answer 1

Midpoint = (x1 + x2/2, y1 + y2/2) = (2 - 2/2, -6 + 10/2) = (0, 2)

Answer 2

(0, 2)

Explanation:

Hi there!

We want to find the midpoint of the segment with the endpoints (2, -6) and (-2, 10).

The formula for the midpoint is given as
`((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 needed to find the midpoint, but let's label the values of the points to avoid any confusion

`x_1=2\\y_1=-6\\x_2=-2\\y_2=10`

Now substitute those values into the formula to find the midpoint

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

`((2-2)/(2), (-6+10)/(2))`

Simplify

`((0)/(2), (4)/(2))`

Divide

(0, 2)

The value of the midpoint has been found.

Hope this helps!