Write in y=mx+b Form -4y-4x=2x+7

$- 4 y - 4 x = 2 x + 7$

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 not containing $y$ to the right side of the equation.

Add $4 x$ to both sides of the equation.

$- 4 y = 2 x + 7 + 4 x$

Add $2 x$ and $4 x$ .

$- 4 y = 6 x + 7$

Divide each term in $- 4 y = 6 x + 7$ by $- 4$ and simplify.

Divide each term in $- 4 y = 6 x + 7$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{6 x}{- 4} + \frac{7}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{6 x}{- 4} + \frac{7}{- 4}$

Divide $y$ by $1$ .

$y = \frac{6 x}{- 4} + \frac{7}{- 4}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $6$ and $- 4$ .

Factor $2$ out of $6 x$ .

$y = \frac{2 (3 x)}{- 4} + \frac{7}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 (3 x)}{2 (- 2)} + \frac{7}{- 4}$

Cancel the common factor.

$y = \frac{2 (3 x)}{2 \cdot - 2} + \frac{7}{- 4}$

Rewrite the expression.

$y = \frac{3 x}{- 2} + \frac{7}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{3 x}{2} + \frac{7}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{3 x}{2} - \frac{7}{4}$

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

Reorder terms.

$y = - (\frac{3}{2} x) - \frac{7}{4}$

Remove parentheses.

$y = - \frac{3}{2} x - \frac{7}{4}$