Respuesta :

Answer:

-8

Step-by-step explanation:

First we need to find the slope of CD.

We know C is (-10, -2)

and we know D is (10,6)

If we use the slope formula, we can see the slope is [tex]m=\frac{6-(-2)}{10-(-10)}[/tex]

[tex]m = \frac{8}{20} \\m=\frac{2}{5}[/tex]

We can see point F is at (6,-4)

We can find the equation of this line by using point slope form, and plugging in F as our point.

[tex]y-(-4)=\frac{2}{5}(x-6)\\y=\frac{2}{5}x-\frac{32}{5}[/tex]

To find where E, we need to find the y value when x = -4

[tex]y=\frac{2}{5}(-4)-\frac{32}{5}\\y =-8[/tex]

Answer:

y = -8

Step-by-step explanation:

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