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

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

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 $4$ .

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

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Simplify $(x + 2) \cdot 4$ .

Apply the distributive property.

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

Simplify the expression.

Move $4$ to the left of $x$ .

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

Multiply $2$ by $4$ .

$7 x - 4 y = 4 x + 8$

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.

$- 4 y = 4 x + 8 - 7 x$

Subtract $7 x$ from $4 x$ .

$- 4 y = - 3 x + 8$

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

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

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

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

Divide $8$ by $- 4$ .

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

Reorder terms.

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

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

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