Write in Slope-Intercept Form 5x+6y-30=0

$5 x + 6 y - 30 = 0$

Step 1

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

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Move all terms not containing $y$ to the right side of the equation.

Subtract $5 x$ from both sides of the equation.

$6 y - 30 = - 5 x$

Add $30$ to both sides of the equation.

$6 y = - 5 x + 30$

Divide each term in $6 y = - 5 x + 30$ by $6$ and simplify.

Divide each term in $6 y = - 5 x + 30$ by $6$ .

$\frac{6 y}{6} = \frac{- 5 x}{6} + \frac{30}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{- 5 x}{6} + \frac{30}{6}$

Divide $y$ by $1$ .

$y = \frac{- 5 x}{6} + \frac{30}{6}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{(5) x}{6} + \frac{30}{6}$

Divide $30$ by $6$ .

$y = - \frac{5 x}{6} + 5$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{5}{6} x) + 5$

Remove parentheses.

$y = - \frac{5}{6} x + 5$