If the coordinates of point E are (-4, y), what is the value of
у?

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]