Rewrite the equation in slope-intercept form. x=4y+2

y = x/4 - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation

x = 4y + 2

Step 2: Subtract 2 on both sides

x - 2 = 4y

Step 3: Divide both sides by 4

x/4 - 1/2 = y

Step-by-step explanation:

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.