EXPLANATION
In order to turn -2x + 10y = 2 into slope-intercept form:
First, as we know, the generic slope-intercept form is:
y= mx + b
where m is the slope and b is the y-intercept
Going back to our equation:
-2x + 10y = 2
Adding +2x to both sides:
-2x + 2x + 10y = 2 + 2x
Adding similar terms:
10y = 2 + 2x
Dividing both sides by 10:
10y/10 = 2/10 + 2x/10
Simplifying:
y = 1/5 + x/5 --> Slope-intercept form