Write in y=mx+b Form x+6y=2y-7

$x + 6 y = 2 y - 7$

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 containing $y$ to the left side of the equation.

Subtract $2 y$ from both sides of the equation.

$x + 6 y - 2 y = - 7$

Subtract $2 y$ from $6 y$ .

$x + 4 y = - 7$

Subtract $x$ from both sides of the equation.

$4 y = - 7 - x$

Divide each term in $4 y = - 7 - x$ by $4$ and simplify.

Divide each term in $4 y = - 7 - x$ by $4$ .

$\frac{4 y}{4} = \frac{- 7}{4} + \frac{- x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 7}{4} + \frac{- x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 7}{4} + \frac{- x}{4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{7}{4} + \frac{- x}{4}$

Move the negative in front of the fraction.

$y = - \frac{7}{4} - \frac{x}{4}$

Write in $y = m x + b$ form.

Reorder $- \frac{7}{4}$ and $- \frac{x}{4}$ .

$y = - \frac{x}{4} - \frac{7}{4}$

Reorder terms.

$y = - (\frac{1}{4} x) - \frac{7}{4}$

Remove parentheses.

$y = - \frac{1}{4} x - \frac{7}{4}$