Write in y=mx+b Form 4x+8y=4y-6

$4 x + 8 y = 4 y - 6$

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.

Move all terms containing $y$ to the left side of the equation.

Subtract $4 y$ from both sides of the equation.

$4 x + 8 y - 4 y = - 6$

Subtract $4 y$ from $8 y$ .

$4 x + 4 y = - 6$

Subtract $4 x$ from both sides of the equation.

$4 y = - 6 - 4 x$

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

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

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

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

Factor $2$ out of $- 6$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

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

Factor $4$ out of $- 4 x$ .

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

Cancel the common factors.

Factor $4$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- x$ by $1$ .

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

Reorder $- \frac{3}{2}$ and $- x$ .

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

Write in y=mx+b Form 4x+8y=4y-6

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