Answer:
[tex]\boxed {\tt y=2x+8}[/tex]
Step-by-step explanation:
If we want to find the equation in slope-intercept form, or y=mx+b (m is the slope and b is the y-intercept), we must isolate y on one side of the equation.
We are given the equation:
[tex]-2x+y=8[/tex]
-2x is being added to y. Since it is negative, we should add 2x to both sides of the equation.
[tex]-2x+2x+y=8+2x[/tex]
[tex]y=8+2x[/tex]
According to the Commutative Property of Addition, we can switch 8 and 2x so it is in the form y=mx+b.
[tex]y=2x+8[/tex]
The equation is y=2x+8 (the slope, m, is 2 and the y-intercept, b, is 8).
