Respuesta :

Stephen46

Answer:

The answer is

[tex]( - 3 \: , \: \frac{9}{2} ) \\ [/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-3) and (-5,12)

The midpoint is

[tex]M = ( \frac{ - 1 - 5}{2} \: , \: \frac{ - 3 + 12}{2} ) \\ = ( - \frac{6}{2} \: , \: \frac{9}{2} )[/tex]

We have the final answer as

[tex]( - 3 \: , \: \frac{9}{2} ) \\ [/tex]

Hope this helps you

Sueraiuka

Step-by-step explanation:

Hey there!

The given coordinates are; (-1,-3) and (-5,12).

Now;

Use formula for midpoint.

[tex]m(x,y) = ( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]

Put all values.

[tex](x,y) = ( \frac{ - 1 - 5}{2} ,\frac{ - 3 + 12}{2} )[/tex]

Simplify it to get answer.

[tex](x,y) = ( \frac{ - 6}{2} , \frac{9}{2}) [/tex]

[tex](x,y) = ( - 3, \frac{9}{2} )[/tex]

Therefore the midpoint is; (-3,9/2).

Hope it helps..