Write in y=mx+b Form (7x-4y)/3=x+2

$\frac{7 x - 4 y}{3} = x + 2$

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.

Multiply both sides by $3$ .

$\frac{7 x - 4 y}{3} \cdot 3 = (x + 2) \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{7 x - 4 y}{3} \cdot 3 = (x + 2) \cdot 3$

Rewrite the expression.

$7 x - 4 y = (x + 2) \cdot 3$

Simplify the right side.

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

Apply the distributive property.

$7 x - 4 y = x \cdot 3 + 2 \cdot 3$

Simplify the expression.

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

$7 x - 4 y = 3 \cdot x + 2 \cdot 3$

Multiply $2$ by $3$ .

$7 x - 4 y = 3 x + 6$

Solve for $y$ .

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

Subtract $7 x$ from both sides of the equation.

$- 4 y = 3 x + 6 - 7 x$

Subtract $7 x$ from $3 x$ .

$- 4 y = - 4 x + 6$

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

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

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Cancel the common factor of $6$ and $- 4$ .

Factor $2$ out of $6$ .

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

Cancel the common factors.

Factor $2$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Write in y=mx+b Form (7x-4y)/3=x+2

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