Put the following equation of a line into slop-intercept form, simplifying all fractions. 2y - x = -8

Y=1/2x-4
First, you use the inverse operation to add x to -x
2y-x=-8
+x +x
—————
2y=x-8
Next you divide 2 by both sides of the equation
2/2y=x-8/2
The twos on the left side of the equation cancel out and you simplify the rest of the problem...
y=x/2-4

y=(2/5)x

Step-by-step explanation:

The y intercept in this equation is 0, so we don't need to worry about the b value in y=mx+b form.

The only thing we need to find out is the slope. From the points (0,0) to (5,2) we see that the slope is 5/2 because the rise is 5 and the run is 2.

Therefore, the equation of the line is y=(5/2)x

Hope this helps!