Write in y=mx+b Form 0.04x+0.06y=0.24

$0.04 x + 0.06 y = 0.24$

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 $0.04 x$ from both sides of the equation.

$0.06 y = 0.24 - 0.04 x$

Divide each term in $0.06 y = 0.24 - 0.04 x$ by $0.06$ and simplify.

Divide each term in $0.06 y = 0.24 - 0.04 x$ by $0.06$ .

$\frac{0.06 y}{0.06} = \frac{0.24}{0.06} + \frac{- 0.04 x}{0.06}$

Simplify the left side.

Cancel the common factor of $0.06$ .

Cancel the common factor.

$\frac{0.06 y}{0.06} = \frac{0.24}{0.06} + \frac{- 0.04 x}{0.06}$

Divide $y$ by $1$ .

$y = \frac{0.24}{0.06} + \frac{- 0.04 x}{0.06}$

Simplify the right side.

Simplify each term.

Divide $0.24$ by $0.06$ .

$y = 4 + \frac{- 0.04 x}{0.06}$

Move the negative in front of the fraction.

$y = 4 - \frac{(0.04) x}{0.06}$

Factor $0.04$ out of $0.04 x$ .

$y = 4 - \frac{0.04 (x)}{0.06}$

Factor $0.06$ out of $0.06$ .

$y = 4 - \frac{0.04 (x)}{0.06 (1)}$

Separate fractions.

$y = 4 - (\frac{0.04}{0.06} \cdot \frac{x}{1})$

Divide $0.04$ by $0.06$ .

$y = 4 - (0.\overline{6} \frac{x}{1})$

Divide $x$ by $1$ .

$y = 4 - (0.\overline{6} x)$

Multiply $0.\overline{6}$ by $- 1$ .

$y = 4 - 0.\overline{6} x$

Reorder $4$ and $- 0.\overline{6} x$ .

$y = - 0.\overline{6} x + 4$