Write in y=mx+b Form 8x+8y=40

$8 x + 8 y = 40$

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.

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

$8 y = 40 - 8 x$

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

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

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

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $40$ by $8$ .

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

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

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

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

Cancel the common factors.

Factor $8$ out of $8$ .

$y = 5 + \frac{8 (- x)}{8 (1)}$

Cancel the common factor.

$y = 5 + \frac{8 (- x)}{8 \cdot 1}$

Rewrite the expression.

$y = 5 + \frac{- x}{1}$

Divide $- x$ by $1$ .

$y = 5 - x$

Reorder $5$ and $- x$ .

$y = - x + 5$