Write in Slope-Intercept Form 1.32y-6x=9-5

$1.32 y - 6 x = 9 - 5$

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.

Simplify the right side.

Subtract $5$ from $9$ .

$1.32 y - 6 x = 4$

Add $6 x$ to both sides of the equation.

$1.32 y = 4 + 6 x$

Divide each term in $1.32 y = 4 + 6 x$ by $1.32$ and simplify.

Divide each term in $1.32 y = 4 + 6 x$ by $1.32$ .

$\frac{1.32 y}{1.32} = \frac{4}{1.32} + \frac{6 x}{1.32}$

Simplify the left side.

Cancel the common factor of $1.32$ .

Cancel the common factor.

$\frac{1.32 y}{1.32} = \frac{4}{1.32} + \frac{6 x}{1.32}$

Divide $y$ by $1$ .

$y = \frac{4}{1.32} + \frac{6 x}{1.32}$

Simplify the right side.

Simplify each term.

Divide $4$ by $1.32$ .

$y = 3.\overline{03} + \frac{6 x}{1.32}$

Factor $6$ out of $6 x$ .

$y = 3.\overline{03} + \frac{6 (x)}{1.32}$

Factor $1.32$ out of $1.32$ .

$y = 3.\overline{03} + \frac{6 (x)}{1.32 (1)}$

Separate fractions.

$y = 3.\overline{03} + \frac{6}{1.32} \cdot \frac{x}{1}$

Divide $6$ by $1.32$ .

$y = 3.\overline{03} + 4.\overline{54} \frac{x}{1}$

Divide $x$ by $1$ .

$y = 3.\overline{03} + 4.\overline{54} x$

Reorder $3.\overline{03}$ and $4.\overline{54} x$ .

$y = 4.\overline{54} x + 3.\overline{03}$