Write in y=mx+b Form (4y+11x)/3=x+1

$\frac{4 y + 11 x}{3} = x + 1$

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 $3$ .

$\frac{4 y + 11 x}{3} \cdot 3 = (x + 1) \cdot 3$

Simplify.

Simplify the left side.

Simplify $\frac{4 y + 11 x}{3} \cdot 3$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{4 y + 11 x}{3} \cdot 3 = (x + 1) \cdot 3$

Rewrite the expression.

$4 y + 11 x = (x + 1) \cdot 3$

Reorder $4 y$ and $11 x$ .

$11 x + 4 y = (x + 1) \cdot 3$

Simplify the right side.

Simplify $(x + 1) \cdot 3$ .

Apply the distributive property.

$11 x + 4 y = x \cdot 3 + 1 \cdot 3$

Simplify the expression.

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

$11 x + 4 y = 3 \cdot x + 1 \cdot 3$

Multiply $3$ by $1$ .

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

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.

$4 y = 3 x + 3 - 11 x$

Subtract $11 x$ from $3 x$ .

$4 y = - 8 x + 3$

Divide each term in $4 y = - 8 x + 3$ by $4$ and simplify.

Divide each term in $4 y = - 8 x + 3$ by $4$ .

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Cancel the common factor of $- 8$ and $4$ .

Factor $4$ out of $- 8 x$ .

$y = \frac{4 (- 2 x)}{4} + \frac{3}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$y = \frac{4 (- 2 x)}{4 (1)} + \frac{3}{4}$

Cancel the common factor.

$y = \frac{4 (- 2 x)}{4 \cdot 1} + \frac{3}{4}$

Rewrite the expression.

$y = \frac{- 2 x}{1} + \frac{3}{4}$

Divide $- 2 x$ by $1$ .

$y = - 2 x + \frac{3}{4}$

Write in y=mx+b Form (4y+11x)/3=x+1

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