Find the midpoint of the segment with the given endpoints (-2, 10) and ( - 10,- 12).The midpoint of the segment is(Simplify your answer. Type an ordered pair.)

Respuesta :

Given:

The given endpoints are ( -2,10) and (-10, -12).

Required:

We need to find the midpoint of te given endpoints.

Explanation:

Consider the formua to find the midpoint.

[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Consider the points ( -2,10) and (-10, -12).

[tex]Substitute\text{ }x_1=-2,x_2=-10,y_1=10,\text{ and }y_2=-12\text{ in the formula,}[/tex]

[tex]midpoint=(\frac{-2+(-10)}{2},\frac{10+(-12)}{2})[/tex]

[tex]midpoint=(\frac{-2-10}{2},\frac{10-12}{2})[/tex]

[tex]midpoint=(\frac{-12}{2},\frac{-2}{2})[/tex]

[tex]midpoint=(-6,-1)[/tex]

Final answer:

[tex]midpoint=(-6,-1)[/tex]