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

Answer:

(0, 2)

Step-by-step 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 $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$, 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

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$(\frac{2-2}{2}, \frac{-6+10}{2})$

Simplify

$(\frac{0}{2}, \frac{4}{2})$

Divide

(0, 2)

The value of the midpoint has been found.

Hope this helps!