Write in y=mx+b Form x/6+y/3=1

$\frac{x}{6} + \frac{y}{3} = 1$

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.

$\frac{y}{3} = 1 - \frac{x}{6}$

Multiply both sides of the equation by $3$ .

$3 \frac{y}{3} = 3 (1 - \frac{x}{6})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{y}{3} = 3 (1 - \frac{x}{6})$

Rewrite the expression.

$y = 3 (1 - \frac{x}{6})$

Simplify the right side.

Simplify $3 (1 - \frac{x}{6})$ .

Apply the distributive property.

$y = 3 \cdot 1 + 3 (- \frac{x}{6})$

Multiply $3$ by $1$ .

$y = 3 + 3 (- \frac{x}{6})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{x}{6}$ into the numerator.

$y = 3 + 3 \frac{- x}{6}$

Factor $3$ out of $6$ .

$y = 3 + 3 \frac{- x}{3 (2)}$

Cancel the common factor.

$y = 3 + 3 \frac{- x}{3 \cdot 2}$

Rewrite the expression.

$y = 3 + \frac{- x}{2}$

Move the negative in front of the fraction.

$y = 3 - \frac{x}{2}$

Reorder $3$ and $- \frac{x}{2}$ .

$y = - \frac{x}{2} + 3$

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

Reorder terms.

$y = - (\frac{1}{2} x) + 3$

Remove parentheses.

$y = - \frac{1}{2} x + 3$