Write in y=mx+b Form -5x-3y=15

$- 5 x - 3 y = 15$

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.

Add $5 x$ to both sides of the equation.

$- 3 y = 15 + 5 x$

Divide each term in $- 3 y = 15 + 5 x$ by $- 3$ and simplify.

Divide each term in $- 3 y = 15 + 5 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{15}{- 3} + \frac{5 x}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{15}{- 3} + \frac{5 x}{- 3}$

Divide $y$ by $1$ .

$y = \frac{15}{- 3} + \frac{5 x}{- 3}$

Simplify the right side.

Simplify each term.

Divide $15$ by $- 3$ .

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

Move the negative in front of the fraction.

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

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

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

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

Reorder terms.

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

Remove parentheses.

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