Write in y=mx+b Form -1-1/5x+1/5y=0

$- 1 - \frac{1}{5} x + \frac{1}{5} y = 0$

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.

Simplify the left side.

Simplify each term.

Combine $x$ and $\frac{1}{5}$ .

$- 1 - \frac{x}{5} + \frac{1}{5} y = 0$

Combine $\frac{1}{5}$ and $y$ .

$- 1 - \frac{x}{5} + \frac{y}{5} = 0$

Move all terms not containing $y$ to the right side of the equation.

Add $1$ to both sides of the equation.

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

Add $\frac{x}{5}$ to both sides of the equation.

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

Multiply both sides of the equation by $5$ .

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

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Simplify $5 (1 + \frac{x}{5})$ .

Apply the distributive property.

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

Multiply $5$ by $1$ .

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

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$y = 5 + x$

Reorder $5$ and $x$ .

$y = x + 5$