Write in y=mx+b Form (8x-2y)/3=x+2

$\frac{8 x - 2 y}{3} = x + 2$

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.

Factor $2$ out of $8 x - 2 y$ .

Factor $2$ out of $8 x$ .

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

Factor $2$ out of $- 2 y$ .

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

Factor $2$ out of $2 (4 x) + 2 (- y)$ .

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

Multiply both sides by $3$ .

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

Simplify.

Simplify the left side.

Simplify $\frac{2 (4 x - y)}{3} \cdot 3$ .

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$2 (4 x - y) = (x + 2) \cdot 3$

Apply the distributive property.

$2 (4 x) + 2 (- y) = (x + 2) \cdot 3$

Multiply.

Multiply $4$ by $2$ .

$8 x + 2 (- y) = (x + 2) \cdot 3$

Multiply $- 1$ by $2$ .

$8 x - 2 y = (x + 2) \cdot 3$

Simplify the right side.

Simplify $(x + 2) \cdot 3$ .

Apply the distributive property.

$8 x - 2 y = x \cdot 3 + 2 \cdot 3$

Simplify the expression.

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

$8 x - 2 y = 3 \cdot x + 2 \cdot 3$

Multiply $2$ by $3$ .

$8 x - 2 y = 3 x + 6$

Solve for $y$ .

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

Subtract $8 x$ from both sides of the equation.

$- 2 y = 3 x + 6 - 8 x$

Subtract $8 x$ from $3 x$ .

$- 2 y = - 5 x + 6$

Divide each term in $- 2 y = - 5 x + 6$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 5 x + 6$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 5 x}{- 2} + \frac{6}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 5 x}{- 2} + \frac{6}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 5 x}{- 2} + \frac{6}{- 2}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(5) x}{2} + \frac{6}{- 2}$

Divide $6$ by $- 2$ .

$y = \frac{5 x}{2} - 3$

Reorder terms.

$y = \frac{5}{2} x - 3$

Write in y=mx+b Form (8x-2y)/3=x+2

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