Write in y=mx+b Form (7x-4y)/2=x+1

$\frac{7 x - 4 y}{2} = x + 1$

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 $2$ .

$\frac{7 x - 4 y}{2} \cdot 2 = (x + 1) \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{7 x - 4 y}{2} \cdot 2 = (x + 1) \cdot 2$

Rewrite the expression.

$7 x - 4 y = (x + 1) \cdot 2$

Simplify the right side.

Simplify $(x + 1) \cdot 2$ .

Apply the distributive property.

$7 x - 4 y = x \cdot 2 + 1 \cdot 2$

Simplify the expression.

Move $2$ to the left of $x$ .

$7 x - 4 y = 2 \cdot x + 1 \cdot 2$

Multiply $2$ by $1$ .

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

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.

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

Subtract $7 x$ from $2 x$ .

$- 4 y = - 5 x + 2$

Divide each term in $- 4 y = - 5 x + 2$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 5 x + 2$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 5 x}{- 4} + \frac{2}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 5 x}{- 4} + \frac{2}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 5 x}{- 4} + \frac{2}{- 4}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(5) x}{4} + \frac{2}{- 4}$

Cancel the common factor of $2$ and $- 4$ .

Factor $2$ out of $2$ .

$y = \frac{5 x}{4} + \frac{2 (1)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{5 x}{4} + \frac{2 \cdot 1}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{5 x}{4} + \frac{2 \cdot 1}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{5 x}{4} + \frac{1}{- 2}$

Move the negative in front of the fraction.

$y = \frac{5 x}{4} - \frac{1}{2}$

Reorder terms.

$y = \frac{5}{4} x - \frac{1}{2}$

Write in y=mx+b Form (7x-4y)/2=x+1

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