Write in y=mx+b Form 8x+7y=3y-4

$8 x + 7 y = 3 y - 4$

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 $3 y$ from both sides of the equation.

$8 x + 7 y - 3 y = - 4$

Subtract $3 y$ from $7 y$ .

$8 x + 4 y = - 4$

Subtract $8 x$ from both sides of the equation.

$4 y = - 4 - 8 x$

Divide each term in $4 y = - 4 - 8 x$ by $4$ and simplify.

Divide each term in $4 y = - 4 - 8 x$ by $4$ .

$\frac{4 y}{4} = \frac{- 4}{4} + \frac{- 8 x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 4}{4} + \frac{- 8 x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 4}{4} + \frac{- 8 x}{4}$

Simplify the right side.

Simplify each term.

Divide $- 4$ by $4$ .

$y = - 1 + \frac{- 8 x}{4}$

Cancel the common factor of $- 8$ and $4$ .

Factor $4$ out of $- 8 x$ .

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

Cancel the common factors.

Factor $4$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 2 x$ by $1$ .

$y = - 1 - 2 x$

Reorder $- 1$ and $- 2 x$ .

$y = - 2 x - 1$