Write in Slope-Intercept Form x-y=3(x-y)

$x - y = 3 (x - y)$

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 right side.

Simplify $3 (x - y)$ .

Apply the distributive property.

$x - y = 3 x + 3 (- y)$

Multiply $- 1$ by $3$ .

$x - y = 3 x - 3 y$

Move all terms containing $y$ to the left side of the equation.

Add $3 y$ to both sides of the equation.

$x - y + 3 y = 3 x$

Add $- y$ and $3 y$ .

$x + 2 y = 3 x$

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

Subtract $x$ from both sides of the equation.

$2 y = 3 x - x$

Subtract $x$ from $3 x$ .

$2 y = 2 x$

Divide each term in $2 y = 2 x$ by $2$ and simplify.

Divide each term in $2 y = 2 x$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$y = x$