Write in y=mx+b Form (5x-5y)/5=-6

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

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 left side.

Cancel the common factor of $5 x - 5 y$ and $5$ .

Factor $5$ out of $5 x$ .

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

Factor $5$ out of $- 5 y$ .

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

Factor $5$ out of $5 (x) + 5 (- y)$ .

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

Cancel the common factors.

Factor $5$ out of $5$ .

$\frac{5 (x - y)}{5 (1)} = - 6$

Cancel the common factor.

$\frac{5 (x - y)}{5 \cdot 1} = - 6$

Rewrite the expression.

$\frac{x - y}{1} = - 6$

Divide $x - y$ by $1$ .

$x - y = - 6$

Subtract $x$ from both sides of the equation.

$- y = - 6 - x$

Divide each term in $- y = - 6 - x$ by $- 1$ and simplify.

Divide each term in $- y = - 6 - x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 6}{- 1} + \frac{- x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 6}{- 1} + \frac{- x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{- 6}{- 1} + \frac{- x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $- 6$ by $- 1$ .

$y = 6 + \frac{- x}{- 1}$

Dividing two negative values results in a positive value.

$y = 6 + \frac{x}{1}$

Divide $x$ by $1$ .

$y = 6 + x$

Reorder $6$ and $x$ .

$y = x + 6$