Write in y=mx+b Form 8x-5y-40=0

$8 x - 5 y - 40 = 0$

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.

$- 5 y - 40 = - 8 x$

Add $40$ to both sides of the equation.

$- 5 y = - 8 x + 40$

Divide each term in $- 5 y = - 8 x + 40$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 8 x + 40$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 8 x}{- 5} + \frac{40}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 8 x}{- 5} + \frac{40}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 8 x}{- 5} + \frac{40}{- 5}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(8) x}{5} + \frac{40}{- 5}$

Divide $40$ by $- 5$ .

$y = \frac{8 x}{5} - 8$

Reorder terms.

$y = \frac{8}{5} x - 8$