Write in y=mx+b Form y-2=2/3(x+9)

$y - 2 = \frac{2}{3} (x + 9)$

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 $\frac{2}{3} (x + 9)$ .

Apply the distributive property.

$y - 2 = \frac{2}{3} x + \frac{2}{3} \cdot 9$

Combine $\frac{2}{3}$ and $x$ .

$y - 2 = \frac{2 x}{3} + \frac{2}{3} \cdot 9$

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$y - 2 = \frac{2 x}{3} + \frac{2}{3} \cdot (3 (3))$

Cancel the common factor.

$y - 2 = \frac{2 x}{3} + \frac{2}{3} \cdot (3 \cdot 3)$

Rewrite the expression.

$y - 2 = \frac{2 x}{3} + 2 \cdot 3$

Multiply $2$ by $3$ .

$y - 2 = \frac{2 x}{3} + 6$

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

Add $2$ to both sides of the equation.

$y = \frac{2 x}{3} + 6 + 2$

Add $6$ and $2$ .

$y = \frac{2 x}{3} + 8$

Reorder terms.

$y = \frac{2}{3} x + 8$