Write in Slope-Intercept Form x+4=4y

$x + 4 = 4 y$

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Rewrite in slope-intercept form.

Rewrite the equation as $4 y = x + 4$ .

$4 y = x + 4$

Divide each term in $4 y = x + 4$ by $4$ and simplify.

Divide each term in $4 y = x + 4$ by $4$ .

$\frac{4 y}{4} = \frac{x}{4} + \frac{4}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{x}{4} + \frac{4}{4}$

Divide $y$ by $1$ .

$y = \frac{x}{4} + \frac{4}{4}$

Simplify the right side.

Divide $4$ by $4$ .

$y = \frac{x}{4} + 1$

Reorder terms.

$y = \frac{1}{4} x + 1$