Write in y=mx+b Form y+5/2=-3(x+3)

$y + \frac{5}{2} = - 3 (x + 3)$

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 $- 3 (x + 3)$ .

Apply the distributive property.

$y + \frac{5}{2} = - 3 x - 3 \cdot 3$

Multiply $- 3$ by $3$ .

$y + \frac{5}{2} = - 3 x - 9$

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

Subtract $\frac{5}{2}$ from both sides of the equation.

$y = - 3 x - 9 - \frac{5}{2}$

To write $- 9$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - 3 x - 9 \cdot \frac{2}{2} - \frac{5}{2}$

Combine $- 9$ and $\frac{2}{2}$ .

$y = - 3 x + \frac{- 9 \cdot 2}{2} - \frac{5}{2}$

Combine the numerators over the common denominator.

$y = - 3 x + \frac{- 9 \cdot 2 - 5}{2}$

Simplify the numerator.

Multiply $- 9$ by $2$ .

$y = - 3 x + \frac{- 18 - 5}{2}$

Subtract $5$ from $- 18$ .

$y = - 3 x + \frac{- 23}{2}$

Move the negative in front of the fraction.

$y = - 3 x - \frac{23}{2}$