Write in y=mx+b Form -15x-5y=45

$- 15 x - 5 y = 45$

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 $15 x$ to both sides of the equation.

$- 5 y = 45 + 15 x$

Divide each term in $- 5 y = 45 + 15 x$ by $- 5$ and simplify.

Divide each term in $- 5 y = 45 + 15 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{45}{- 5} + \frac{15 x}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{45}{- 5} + \frac{15 x}{- 5}$

Divide $y$ by $1$ .

$y = \frac{45}{- 5} + \frac{15 x}{- 5}$

Simplify the right side.

Simplify each term.

Divide $45$ by $- 5$ .

$y = - 9 + \frac{15 x}{- 5}$

Cancel the common factor of $15$ and $- 5$ .

Factor $5$ out of $15 x$ .

$y = - 9 + \frac{5 (3 x)}{- 5}$

Move the negative one from the denominator of $\frac{3 x}{- 1}$ .

$y = - 9 - 1 \cdot (3 x)$

Rewrite $- 1 \cdot (3 x)$ as $- (3 x)$ .

$y = - 9 - (3 x)$

Multiply $3$ by $- 1$ .

$y = - 9 - 3 x$

Reorder $- 9$ and $- 3 x$ .

$y = - 3 x - 9$