Write in y=mx+b Form 8-3y=5+6x

$8 - 3 y = 5 + 6 x$

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 $8$ from both sides of the equation.

$- 3 y = 5 + 6 x - 8$

Subtract $8$ from $5$ .

$- 3 y = 6 x - 3$

Divide each term in $- 3 y = 6 x - 3$ by $- 3$ and simplify.

Divide each term in $- 3 y = 6 x - 3$ by $- 3$ .

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Cancel the common factor of $6$ and $- 3$ .

Factor $3$ out of $6 x$ .

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

Move the negative one from the denominator of $\frac{2 x}{- 1}$ .

$y = - 1 \cdot (2 x) + \frac{- 3}{- 3}$

Rewrite $- 1 \cdot (2 x)$ as $- (2 x)$ .

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

Multiply $2$ by $- 1$ .

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

Divide $- 3$ by $- 3$ .

$y = - 2 x + 1$