Find the Slope and y-intercept 4x-4y=12

$4 x - 4 y = 12$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Subtract $4 x$ from both sides of the equation.

$- 4 y = 12 - 4 x$

Divide each term in $- 4 y = 12 - 4 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 12 - 4 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{12}{- 4} + \frac{- 4 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{12}{- 4} + \frac{- 4 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{12}{- 4} + \frac{- 4 x}{- 4}$

Simplify the right side.

Simplify each term.

Divide $12$ by $- 4$ .

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

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$y = - 3 + x$

Reorder $- 3$ and $x$ .

$y = x - 3$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 1$

$b = - 3$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $1$

y-intercept: $(0, - 3)$

Slope: $1$

y-intercept: $(0, - 3)$

Step 3