Write in y=mx+b Form 8x-7y-56=0

$8 x - 7 y - 56 = 0$

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.

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

$- 7 y - 56 = - 8 x$

Add $56$ to both sides of the equation.

$- 7 y = - 8 x + 56$

Divide each term in $- 7 y = - 8 x + 56$ by $- 7$ and simplify.

Divide each term in $- 7 y = - 8 x + 56$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{- 8 x}{- 7} + \frac{56}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{- 8 x}{- 7} + \frac{56}{- 7}$

Divide $y$ by $1$ .

$y = \frac{- 8 x}{- 7} + \frac{56}{- 7}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(8) x}{7} + \frac{56}{- 7}$

Divide $56$ by $- 7$ .

$y = \frac{8 x}{7} - 8$

Reorder terms.

$y = \frac{8}{7} x - 8$