Write in y=mx+b Form -6x=6-10y

$- 6 x = 6 - 10 y$

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 $6 - 10 y = - 6 x$ .

$6 - 10 y = - 6 x$

Subtract $6$ from both sides of the equation.

$- 10 y = - 6 x - 6$

Divide each term in $- 10 y = - 6 x - 6$ by $- 10$ and simplify.

Divide each term in $- 10 y = - 6 x - 6$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{- 6 x}{- 10} + \frac{- 6}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{- 6 x}{- 10} + \frac{- 6}{- 10}$

Divide $y$ by $1$ .

$y = \frac{- 6 x}{- 10} + \frac{- 6}{- 10}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 6$ and $- 10$ .

Factor $- 2$ out of $- 6 x$ .

$y = \frac{- 2 (3 x)}{- 10} + \frac{- 6}{- 10}$

Cancel the common factors.

Factor $- 2$ out of $- 10$ .

$y = \frac{- 2 (3 x)}{- 2 (5)} + \frac{- 6}{- 10}$

Cancel the common factor.

$y = \frac{- 2 (3 x)}{- 2 \cdot 5} + \frac{- 6}{- 10}$

Rewrite the expression.

$y = \frac{3 x}{5} + \frac{- 6}{- 10}$

Cancel the common factor of $- 6$ and $- 10$ .

Factor $- 2$ out of $- 6$ .

$y = \frac{3 x}{5} + \frac{- 2 (3)}{- 10}$

Cancel the common factors.

Factor $- 2$ out of $- 10$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Reorder terms.

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