Write in y=mx+b Form 5x+5y=10

$5 x + 5 y = 10$

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 $5 x$ from both sides of the equation.

$5 y = 10 - 5 x$

Divide each term in $5 y = 10 - 5 x$ by $5$ and simplify.

Divide each term in $5 y = 10 - 5 x$ by $5$ .

$\frac{5 y}{5} = \frac{10}{5} + \frac{- 5 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{10}{5} + \frac{- 5 x}{5}$

Divide $y$ by $1$ .

$y = \frac{10}{5} + \frac{- 5 x}{5}$

Simplify the right side.

Simplify each term.

Divide $10$ by $5$ .

$y = 2 + \frac{- 5 x}{5}$

Cancel the common factor of $- 5$ and $5$ .

Factor $5$ out of $- 5 x$ .

$y = 2 + \frac{5 (- x)}{5}$

Cancel the common factors.

Factor $5$ out of $5$ .

$y = 2 + \frac{5 (- x)}{5 (1)}$

Cancel the common factor.

$y = 2 + \frac{5 (- x)}{5 \cdot 1}$

Rewrite the expression.

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

Divide $- x$ by $1$ .

$y = 2 - x$

Reorder $2$ and $- x$ .

$y = - x + 2$