Write in y=mx+b Form 0.01x+0.06y=0.06

$0.01 x + 0.06 y = 0.06$

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 $0.01 x$ from both sides of the equation.

$0.06 y = 0.06 - 0.01 x$

Divide each term in $0.06 y = 0.06 - 0.01 x$ by $0.06$ and simplify.

Divide each term in $0.06 y = 0.06 - 0.01 x$ by $0.06$ .

$\frac{0.06 y}{0.06} = \frac{0.06}{0.06} + \frac{- 0.01 x}{0.06}$

Simplify the left side.

Cancel the common factor of $0.06$ .

Cancel the common factor.

$\frac{0.06 y}{0.06} = \frac{0.06}{0.06} + \frac{- 0.01 x}{0.06}$

Divide $y$ by $1$ .

$y = \frac{0.06}{0.06} + \frac{- 0.01 x}{0.06}$

Simplify the right side.

Simplify each term.

Divide $0.06$ by $0.06$ .

$y = 1 + \frac{- 0.01 x}{0.06}$

Move the negative in front of the fraction.

$y = 1 - \frac{(0.01) x}{0.06}$

Factor $0.01$ out of $0.01 x$ .

$y = 1 - \frac{0.01 (x)}{0.06}$

Factor $0.06$ out of $0.06$ .

$y = 1 - \frac{0.01 (x)}{0.06 (1)}$

Separate fractions.

$y = 1 - (\frac{0.01}{0.06} \cdot \frac{x}{1})$

Divide $0.01$ by $0.06$ .

$y = 1 - (0.1\overline{6} \frac{x}{1})$

Divide $x$ by $1$ .

$y = 1 - (0.1\overline{6} x)$

Multiply $0.1\overline{6}$ by $- 1$ .

$y = 1 - 0.1\overline{6} x$

Reorder $1$ and $- 0.1\overline{6} x$ .

$y = - 0.1\overline{6} x + 1$