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

$1.2 x + 1.6 y = 5$

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 $1.2 x$ from both sides of the equation.

$1.6 y = 5 - 1.2 x$

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

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

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

Simplify the left side.

Cancel the common factor of $1.6$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $5$ by $1.6$ .

$y = 3.125 + \frac{- 1.2 x}{1.6}$

Move the negative in front of the fraction.

$y = 3.125 - \frac{(1.2) x}{1.6}$

Factor $1.2$ out of $1.2 x$ .

$y = 3.125 - \frac{1.2 (x)}{1.6}$

Factor $1.6$ out of $1.6$ .

$y = 3.125 - \frac{1.2 (x)}{1.6 (1)}$

Separate fractions.

$y = 3.125 - (\frac{1.2}{1.6} \cdot \frac{x}{1})$

Divide $1.2$ by $1.6$ .

$y = 3.125 - (0.75 \frac{x}{1})$

Divide $x$ by $1$ .

$y = 3.125 - (0.75 x)$

Multiply $0.75$ by $- 1$ .

$y = 3.125 - 0.75 x$

Reorder $3.125$ and $- 0.75 x$ .

$y = - 0.75 x + 3.125$