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

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

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.

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

Factor $2$ out of $4 x$ .

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

Factor $2$ out of $- 4 y$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 x - 2 y$ by $1$ .

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

Simplify the right side.

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

Factor $2$ out of $2 x$ .

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

Factor $2$ out of $- 2$ .

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

Factor $2$ out of $2 (x) + 2 (- 1)$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify $\frac{x - 1}{2}$ .

Split the fraction $\frac{x - 1}{2}$ into two fractions.

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

Move the negative in front of the fraction.

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

Subtract $2 x$ from both sides of the equation.

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

Divide each term in $- 2 y = \frac{x}{2} - \frac{1}{2} - 2 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = \frac{x}{2} - \frac{1}{2} - 2 x$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

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

Move the negative in front of the fraction.

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

Multiply $\frac{x}{2} (- \frac{1}{2})$ .

Multiply $\frac{x}{2}$ by $\frac{1}{2}$ .

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

Multiply $2$ by $2$ .

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

Multiply the numerator by the reciprocal of the denominator.

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

Move the negative in front of the fraction.

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

Multiply $- \frac{1}{2} (- \frac{1}{2})$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $\frac{1}{2}$ by $1$ .

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

Multiply $\frac{1}{2}$ by $\frac{1}{2}$ .

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

Multiply $2$ by $2$ .

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

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Write in $y = m x + b$ form.

Simplify $- \frac{x}{4} + \frac{1}{4} + x$ .

To write $x$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

Simplify terms.

Combine $x$ and $\frac{4}{4}$ .

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

Combine the numerators over the common denominator.

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

Combine the numerators over the common denominator.

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

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

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

Add $- x$ and $4 x$ .

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

Split the fraction $\frac{3 x + 1}{4}$ into two fractions.

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

Reorder terms.

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

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

Related Questions

Support LCMGCF.com by disabling your adblocker.