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

$- 3 x = 6 - 5 y$

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.

Rewrite the equation as $6 - 5 y = - 3 x$ .

$6 - 5 y = - 3 x$

Subtract $6$ from both sides of the equation.

$- 5 y = - 3 x - 6$

Divide each term in $- 5 y = - 3 x - 6$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 3 x - 6$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 3 x}{- 5} + \frac{- 6}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 3 x}{- 5} + \frac{- 6}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 3 x}{- 5} + \frac{- 6}{- 5}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(3) x}{5} + \frac{- 6}{- 5}$

Dividing two negative values results in a positive value.

$y = \frac{3 x}{5} + \frac{6}{5}$

Reorder terms.

$y = \frac{3}{5} x + \frac{6}{5}$