Write in y=mx+b Form 6x+12y=9

$6 x + 12 y = 9$

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 $6 x$ from both sides of the equation.

$12 y = 9 - 6 x$

Divide each term in $12 y = 9 - 6 x$ by $12$ and simplify.

Divide each term in $12 y = 9 - 6 x$ by $12$ .

$\frac{12 y}{12} = \frac{9}{12} + \frac{- 6 x}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 y}{12} = \frac{9}{12} + \frac{- 6 x}{12}$

Divide $y$ by $1$ .

$y = \frac{9}{12} + \frac{- 6 x}{12}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $9$ and $12$ .

Factor $3$ out of $9$ .

$y = \frac{3 (3)}{12} + \frac{- 6 x}{12}$

Cancel the common factors.

Factor $3$ out of $12$ .

$y = \frac{3 \cdot 3}{3 \cdot 4} + \frac{- 6 x}{12}$

Cancel the common factor.

$y = \frac{3 \cdot 3}{3 \cdot 4} + \frac{- 6 x}{12}$

Rewrite the expression.

$y = \frac{3}{4} + \frac{- 6 x}{12}$

Cancel the common factor of $- 6$ and $12$ .

Factor $6$ out of $- 6 x$ .

$y = \frac{3}{4} + \frac{6 (- x)}{12}$

Cancel the common factors.

Factor $6$ out of $12$ .

$y = \frac{3}{4} + \frac{6 (- x)}{6 (2)}$

Cancel the common factor.

$y = \frac{3}{4} + \frac{6 (- x)}{6 \cdot 2}$

Rewrite the expression.

$y = \frac{3}{4} + \frac{- x}{2}$

Move the negative in front of the fraction.

$y = \frac{3}{4} - \frac{x}{2}$

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

Reorder $\frac{3}{4}$ and $- \frac{x}{2}$ .

$y = - \frac{x}{2} + \frac{3}{4}$

Reorder terms.

$y = - (\frac{1}{2} x) + \frac{3}{4}$

Remove parentheses.

$y = - \frac{1}{2} x + \frac{3}{4}$

Write in y=mx+b Form 6x+12y=9

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