Write in y=mx+b Form y+6=1/3(x-9)

$y + 6 = \frac{1}{3} (x - 9)$

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.

Simplify the right side.

Simplify $\frac{1}{3} (x - 9)$ .

Apply the distributive property.

$y + 6 = \frac{1}{3} x + \frac{1}{3} \cdot - 9$

Combine $\frac{1}{3}$ and $x$ .

$y + 6 = \frac{x}{3} + \frac{1}{3} \cdot - 9$

Cancel the common factor of $3$ .

Factor $3$ out of $- 9$ .

$y + 6 = \frac{x}{3} + \frac{1}{3} \cdot (3 (- 3))$

Cancel the common factor.

$y + 6 = \frac{x}{3} + \frac{1}{3} \cdot (3 \cdot - 3)$

Rewrite the expression.

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

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

Subtract $6$ from both sides of the equation.

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

Subtract $6$ from $- 3$ .

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

Reorder terms.

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