The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m = slope
c = y intercept
The given equation is expressed as
-1/2x + y = 10
To make it look like the slope intercept form shown above, we would add 1/2x to both sides of the equation. We have
-1/2x + 1/2x + y = 10 + 1/2x
y = 10 + 1/2x
By rearranging the right side of the equation,
y = 1/2x + 10
The slope intercept form is
y = 1/2x + 10