Write in y=mx+b Form 1.6x+1.2y=5.0

$1.6 x + 1.2 y = 5$

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 $1.6 x$ from both sides of the equation.

$1.2 y = 5 - 1.6 x$

Divide each term in $1.2 y = 5 - 1.6 x$ by $1.2$ and simplify.

Divide each term in $1.2 y = 5 - 1.6 x$ by $1.2$ .

$\frac{1.2 y}{1.2} = \frac{5}{1.2} + \frac{- 1.6 x}{1.2}$

Simplify the left side.

Cancel the common factor of $1.2$ .

Cancel the common factor.

$\frac{1.2 y}{1.2} = \frac{5}{1.2} + \frac{- 1.6 x}{1.2}$

Divide $y$ by $1$ .

$y = \frac{5}{1.2} + \frac{- 1.6 x}{1.2}$

Simplify the right side.

Simplify each term.

Divide $5$ by $1.2$ .

$y = 4.1\overline{6} + \frac{- 1.6 x}{1.2}$

Move the negative in front of the fraction.

$y = 4.1\overline{6} - \frac{(1.6) x}{1.2}$

Factor $1.6$ out of $1.6 x$ .

$y = 4.1\overline{6} - \frac{1.6 (x)}{1.2}$

Factor $1.2$ out of $1.2$ .

$y = 4.1\overline{6} - \frac{1.6 (x)}{1.2 (1)}$

Separate fractions.

$y = 4.1\overline{6} - (\frac{1.6}{1.2} \cdot \frac{x}{1})$

Divide $1.6$ by $1.2$ .

$y = 4.1\overline{6} - (1.\overline{3} \frac{x}{1})$

Divide $x$ by $1$ .

$y = 4.1\overline{6} - (1.\overline{3} x)$

Multiply $1.\overline{3}$ by $- 1$ .

$y = 4.1\overline{6} - 1.\overline{3} x$

Reorder $4.1\overline{6}$ and $- 1.\overline{3} x$ .

$y = - 1.\overline{3} x + 4.1\overline{6}$