Write in y=mx+b Form 3x-8y-9=0

$3 x - 8 y - 9 = 0$

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.

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

Subtract $3 x$ from both sides of the equation.

$- 8 y - 9 = - 3 x$

Add $9$ to both sides of the equation.

$- 8 y = - 3 x + 9$

Divide each term in $- 8 y = - 3 x + 9$ by $- 8$ and simplify.

Divide each term in $- 8 y = - 3 x + 9$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{- 3 x}{- 8} + \frac{9}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{- 3 x}{- 8} + \frac{9}{- 8}$

Divide $y$ by $1$ .

$y = \frac{- 3 x}{- 8} + \frac{9}{- 8}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(3) x}{8} + \frac{9}{- 8}$

Move the negative in front of the fraction.

$y = \frac{3 x}{8} - \frac{9}{8}$

Reorder terms.

$y = \frac{3}{8} x - \frac{9}{8}$