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

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

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.

Add $7 x$ to both sides of the equation.

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

Add $x$ and $7 x$ .

$- 6 y = 8 x + 2$

Divide each term in $- 6 y = 8 x + 2$ by $- 6$ and simplify.

Divide each term in $- 6 y = 8 x + 2$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{8 x}{- 6} + \frac{2}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{8 x}{- 6} + \frac{2}{- 6}$

Divide $y$ by $1$ .

$y = \frac{8 x}{- 6} + \frac{2}{- 6}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $8$ and $- 6$ .

Factor $2$ out of $8 x$ .

$y = \frac{2 (4 x)}{- 6} + \frac{2}{- 6}$

Cancel the common factors.

Factor $2$ out of $- 6$ .

$y = \frac{2 (4 x)}{2 (- 3)} + \frac{2}{- 6}$

Cancel the common factor.

$y = \frac{2 (4 x)}{2 \cdot - 3} + \frac{2}{- 6}$

Rewrite the expression.

$y = \frac{4 x}{- 3} + \frac{2}{- 6}$

Move the negative in front of the fraction.

$y = - \frac{4 x}{3} + \frac{2}{- 6}$

Cancel the common factor of $2$ and $- 6$ .

Factor $2$ out of $2$ .

$y = - \frac{4 x}{3} + \frac{2 (1)}{- 6}$

Cancel the common factors.

Factor $2$ out of $- 6$ .

$y = - \frac{4 x}{3} + \frac{2 \cdot 1}{2 \cdot - 3}$

Cancel the common factor.

$y = - \frac{4 x}{3} + \frac{2 \cdot 1}{2 \cdot - 3}$

Rewrite the expression.

$y = - \frac{4 x}{3} + \frac{1}{- 3}$

Move the negative in front of the fraction.

$y = - \frac{4 x}{3} - \frac{1}{3}$

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

Reorder terms.

$y = - (\frac{4}{3} x) - \frac{1}{3}$

Remove parentheses.

$y = - \frac{4}{3} x - \frac{1}{3}$

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

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