Write in y=mx+b Form x/6+y/5=1

$\frac{x}{6} + \frac{y}{5} = 1$

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.

Subtract $\frac{x}{6}$ from both sides of the equation.

$\frac{y}{5} = 1 - \frac{x}{6}$

Multiply both sides of the equation by $5$ .

$5 \frac{y}{5} = 5 (1 - \frac{x}{6})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{y}{5} = 5 (1 - \frac{x}{6})$

Rewrite the expression.

$y = 5 (1 - \frac{x}{6})$

Simplify the right side.

Simplify $5 (1 - \frac{x}{6})$ .

Apply the distributive property.

$y = 5 \cdot 1 + 5 (- \frac{x}{6})$

Multiply $5$ by $1$ .

$y = 5 + 5 (- \frac{x}{6})$

Multiply $5 (- \frac{x}{6})$ .

Multiply $- 1$ by $5$ .

$y = 5 - 5 \frac{x}{6}$

Combine $- 5$ and $\frac{x}{6}$ .

$y = 5 + \frac{- 5 x}{6}$

Move the negative in front of the fraction.

$y = 5 - \frac{5 x}{6}$

Reorder $5$ and $- \frac{5 x}{6}$ .

$y = - \frac{5 x}{6} + 5$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{5}{6} x) + 5$

Remove parentheses.

$y = - \frac{5}{6} x + 5$