Answer:
y = 6
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the slope m = 1 and the points (-4, y) and (-2, 8). Substitute:
[tex]1=\dfrac{8-y}{-2-(-4)}[/tex]
[tex]1=\dfrac{8-y}{2}[/tex] multiply both sides by 2
[tex]2=8-y[/tex] subtract 8 from both sides
[tex]-6=-y[/tex] change the signs
[tex]6=y\to y=6[/tex]
