Write in Slope-Intercept Form 6(y-32)+2x=8

$6 (y - 32) + 2 x = 8$

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 left side.

Simplify each term.

Apply the distributive property.

$6 y + 6 \cdot - 32 + 2 x = 8$

Multiply $6$ by $- 32$ .

$6 y - 192 + 2 x = 8$

Move all terms not containing $y$ to the right side of the equation.

Add $192$ to both sides of the equation.

$6 y + 2 x = 8 + 192$

Subtract $2 x$ from both sides of the equation.

$6 y = 8 + 192 - 2 x$

Add $8$ and $192$ .

$6 y = 200 - 2 x$

Divide each term in $6 y = 200 - 2 x$ by $6$ and simplify.

Divide each term in $6 y = 200 - 2 x$ by $6$ .

$\frac{6 y}{6} = \frac{200}{6} + \frac{- 2 x}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{200}{6} + \frac{- 2 x}{6}$

Divide $y$ by $1$ .

$y = \frac{200}{6} + \frac{- 2 x}{6}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $200$ and $6$ .

Factor $2$ out of $200$ .

$y = \frac{2 (100)}{6} + \frac{- 2 x}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$y = \frac{2 \cdot 100}{2 \cdot 3} + \frac{- 2 x}{6}$

Cancel the common factor.

$y = \frac{2 \cdot 100}{2 \cdot 3} + \frac{- 2 x}{6}$

Rewrite the expression.

$y = \frac{100}{3} + \frac{- 2 x}{6}$

Cancel the common factor of $- 2$ and $6$ .

Factor $2$ out of $- 2 x$ .

$y = \frac{100}{3} + \frac{2 (- x)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$y = \frac{100}{3} + \frac{2 (- x)}{2 (3)}$

Cancel the common factor.

$y = \frac{100}{3} + \frac{2 (- x)}{2 \cdot 3}$

Rewrite the expression.

$y = \frac{100}{3} + \frac{- x}{3}$

Move the negative in front of the fraction.

$y = \frac{100}{3} - \frac{x}{3}$

Write in $y = m x + b$ form.

Reorder $\frac{100}{3}$ and $- \frac{x}{3}$ .

$y = - \frac{x}{3} + \frac{100}{3}$

Reorder terms.

$y = - (\frac{1}{3} x) + \frac{100}{3}$

Remove parentheses.

$y = - \frac{1}{3} x + \frac{100}{3}$

Write in Slope-Intercept Form 6(y-32)+2x=8

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