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

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

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

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

Multiply both sides of the equation by $6$ .

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

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

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

Apply the distributive property.

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

Multiply $6$ by $1$ .

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

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

Multiply $- 1$ by $6$ .

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

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

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

Move the negative in front of the fraction.

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

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

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

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

Reorder terms.

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

Remove parentheses.

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