Respuesta :

Answer:

The answer is

[tex]( - \frac{7}{2} \: , \: 1) \\ [/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{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]

where

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

From the question the points are

E(-8,1) and F(1,1)

The midpoint is

[tex]M = ( \frac{ - 8 + 1}{2} \: , \: \frac{1 + 1}{2} ) \\ = ( - \frac{7}{2} \: , \: \frac{2}{2} )[/tex]

We have the final answer as

[tex]( - \frac{7}{2} \: , \: 1) \\ [/tex]

Hope this helps you

Step-by-step explanation:

Hey there!

The given points are; (-8,1) and F (1,1). Let M(x,y) be the midpoints.

Now,

Using midpoint formulae.

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

Put all values.

[tex](x,y) =( \frac{ - 8 + 1}{2} , \frac{1 + 1}{2} )[/tex]

Simplify it to get answer.

[tex](x,y) = ( \frac{ - 7}{2} , \frac{2}{2}) [/tex]

[tex](x,y) = (\frac{ - 7}{2} ,1)[/tex]

Therefore the slope is M(-7/2,1).

Hope it helps...

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