Write in y=mx+b Form x/5+4=y/2-1

$\frac{x}{5} + 4 = \frac{y}{2} - 1$

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.

Rewrite the equation as $\frac{y}{2} - 1 = \frac{x}{5} + 4$ .

$\frac{y}{2} - 1 = \frac{x}{5} + 4$

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

Add $1$ to both sides of the equation.

$\frac{y}{2} = \frac{x}{5} + 4 + 1$

Add $4$ and $1$ .

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

Multiply both sides of the equation by $2$ .

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

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Simplify $2 (\frac{x}{5} + 5)$ .

Apply the distributive property.

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

Combine $2$ and $\frac{x}{5}$ .

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

Multiply $2$ by $5$ .

$y = \frac{2 x}{5} + 10$

Reorder terms.

$y = \frac{2}{5} x + 10$