Write in Slope-Intercept Form x+4y>8

$x + 4 y > 8$

Step 1

Solve for $y$ .

Subtract $x$ from both sides of the inequality.

$4 y > 8 - x$

Divide each term in $4 y > 8 - x$ by $4$ and simplify.

Divide each term in $4 y > 8 - x$ by $4$ .

$\frac{4 y}{4} > \frac{8}{4} + \frac{- x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} > \frac{8}{4} + \frac{- x}{4}$

Divide $y$ by $1$ .

$y > \frac{8}{4} + \frac{- x}{4}$

Simplify the right side.

Simplify each term.

Divide $8$ by $4$ .

$y > 2 + \frac{- x}{4}$

Move the negative in front of the fraction.

$y > 2 - \frac{x}{4}$

Step 2

Rearrange terms.

$y > - \frac{x}{4} + 2$

Step 3

Reorder terms.

$y > - (\frac{1}{4} x) + 2$

Step 4

Remove parentheses.

$y > - \frac{1}{4} x + 2$