Write in Slope-Intercept Form 3y-24=x

$3 y - 24 = x$

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.

Add $24$ to both sides of the equation.

$3 y = x + 24$

Divide each term in $3 y = x + 24$ by $3$ and simplify.

Divide each term in $3 y = x + 24$ by $3$ .

$\frac{3 y}{3} = \frac{x}{3} + \frac{24}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{x}{3} + \frac{24}{3}$

Divide $y$ by $1$ .

$y = \frac{x}{3} + \frac{24}{3}$

Simplify the right side.

Divide $24$ by $3$ .

$y = \frac{x}{3} + 8$

Reorder terms.

$y = \frac{1}{3} x + 8$