Write in y=mx+b Form (3y+11x)/3=x+4

$\frac{3 y + 11 x}{3} = x + 4$

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.

Multiply both sides by $3$ .

$\frac{3 y + 11 x}{3} \cdot 3 = (x + 4) \cdot 3$

Simplify.

Simplify the left side.

Simplify $\frac{3 y + 11 x}{3} \cdot 3$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y + 11 x}{3} \cdot 3 = (x + 4) \cdot 3$

Rewrite the expression.

$3 y + 11 x = (x + 4) \cdot 3$

Reorder $3 y$ and $11 x$ .

$11 x + 3 y = (x + 4) \cdot 3$

Simplify the right side.

Simplify $(x + 4) \cdot 3$ .

Apply the distributive property.

$11 x + 3 y = x \cdot 3 + 4 \cdot 3$

Simplify the expression.

Move $3$ to the left of $x$ .

$11 x + 3 y = 3 \cdot x + 4 \cdot 3$

Multiply $4$ by $3$ .

$11 x + 3 y = 3 x + 12$

Solve for $y$ .

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

Subtract $11 x$ from both sides of the equation.

$3 y = 3 x + 12 - 11 x$

Subtract $11 x$ from $3 x$ .

$3 y = - 8 x + 12$

Divide each term in $3 y = - 8 x + 12$ by $3$ and simplify.

Divide each term in $3 y = - 8 x + 12$ by $3$ .

$\frac{3 y}{3} = \frac{- 8 x}{3} + \frac{12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 8 x}{3} + \frac{12}{3}$

Divide $y$ by $1$ .

$y = \frac{- 8 x}{3} + \frac{12}{3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{(8) x}{3} + \frac{12}{3}$

Divide $12$ by $3$ .

$y = - \frac{8 x}{3} + 4$

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

Reorder terms.

$y = - (\frac{8}{3} x) + 4$

Remove parentheses.

$y = - \frac{8}{3} x + 4$

Write in y=mx+b Form (3y+11x)/3=x+4

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