Write in y=mx+b Form -9x+3y=27

$- 9 x + 3 y = 27$

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 $9 x$ to both sides of the equation.

$3 y = 27 + 9 x$

Divide each term in $3 y = 27 + 9 x$ by $3$ and simplify.

Divide each term in $3 y = 27 + 9 x$ by $3$ .

$\frac{3 y}{3} = \frac{27}{3} + \frac{9 x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{27}{3} + \frac{9 x}{3}$

Divide $y$ by $1$ .

$y = \frac{27}{3} + \frac{9 x}{3}$

Simplify the right side.

Simplify each term.

Divide $27$ by $3$ .

$y = 9 + \frac{9 x}{3}$

Cancel the common factor of $9$ and $3$ .

Factor $3$ out of $9 x$ .

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

Cancel the common factors.

Factor $3$ out of $3$ .

$y = 9 + \frac{3 (3 x)}{3 (1)}$

Cancel the common factor.

$y = 9 + \frac{3 (3 x)}{3 \cdot 1}$

Rewrite the expression.

$y = 9 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$y = 9 + 3 x$

Reorder $9$ and $3 x$ .

$y = 3 x + 9$