Write in y=mx+b Form 6x+27y=1

$6 x + 27 y = 1$

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 $6 x$ from both sides of the equation.

$27 y = 1 - 6 x$

Divide each term in $27 y = 1 - 6 x$ by $27$ and simplify.

Divide each term in $27 y = 1 - 6 x$ by $27$ .

$\frac{27 y}{27} = \frac{1}{27} + \frac{- 6 x}{27}$

Simplify the left side.

Cancel the common factor of $27$ .

Cancel the common factor.

$\frac{27 y}{27} = \frac{1}{27} + \frac{- 6 x}{27}$

Divide $y$ by $1$ .

$y = \frac{1}{27} + \frac{- 6 x}{27}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 6$ and $27$ .

Factor $3$ out of $- 6 x$ .

$y = \frac{1}{27} + \frac{3 (- 2 x)}{27}$

Cancel the common factors.

Factor $3$ out of $27$ .

$y = \frac{1}{27} + \frac{3 (- 2 x)}{3 (9)}$

Cancel the common factor.

$y = \frac{1}{27} + \frac{3 (- 2 x)}{3 \cdot 9}$

Rewrite the expression.

$y = \frac{1}{27} + \frac{- 2 x}{9}$

Move the negative in front of the fraction.

$y = \frac{1}{27} - \frac{2 x}{9}$

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

Reorder $\frac{1}{27}$ and $- \frac{2 x}{9}$ .

$y = - \frac{2 x}{9} + \frac{1}{27}$

Reorder terms.

$y = - (\frac{2}{9} x) + \frac{1}{27}$

Remove parentheses.

$y = - \frac{2}{9} x + \frac{1}{27}$