Write in Slope-Intercept Form 6x+5y=-15

$6 x + 5 y = - 15$

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.

Subtract $6 x$ from both sides of the equation.

$5 y = - 15 - 6 x$

Divide each term in $5 y = - 15 - 6 x$ by $5$ and simplify.

Divide each term in $5 y = - 15 - 6 x$ by $5$ .

$\frac{5 y}{5} = \frac{- 15}{5} + \frac{- 6 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 15}{5} + \frac{- 6 x}{5}$

Divide $y$ by $1$ .

$y = \frac{- 15}{5} + \frac{- 6 x}{5}$

Simplify the right side.

Simplify each term.

Divide $- 15$ by $5$ .

$y = - 3 + \frac{- 6 x}{5}$

Move the negative in front of the fraction.

$y = - 3 - \frac{6 x}{5}$

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

Reorder $- 3$ and $- \frac{6 x}{5}$ .

$y = - \frac{6 x}{5} - 3$

Reorder terms.

$y = - (\frac{6}{5} x) - 3$

Remove parentheses.

$y = - \frac{6}{5} x - 3$