To get slope-intercept form (y=mx+b), you have to solve this equation for y by using inverse operations. First, we can subtract by 2 on both sides to eliminate the +2 on the right side. This results in x-2=4y. To get y by itself, we can divide by 4 on both sides. This becomes (x-2)/4=y. To make this in slope-intercept form, we have to separate the terms into x/4 and -2/4. This is (x/4)+(-2/4)=y. We can reduce the second fraction to -1/2 and rewrite x/4 as 1/4x. The equation is y=1/4x-1/2.