Find the Slope and y-intercept 3y=6x-12

$3 y = 6 x - 12$

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.

$y = m x + b$

Divide each term in $3 y = 6 x - 12$ by $3$ and simplify.

Divide each term in $3 y = 6 x - 12$ by $3$ .

$\frac{3 y}{3} = \frac{6 x}{3} + \frac{- 12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{6 x}{3} + \frac{- 12}{3}$

Divide $y$ by $1$ .

$y = \frac{6 x}{3} + \frac{- 12}{3}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $6$ and $3$ .

Factor $3$ out of $6 x$ .

$y = \frac{3 (2 x)}{3} + \frac{- 12}{3}$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = \frac{3 (2 x)}{3 (1)} + \frac{- 12}{3}$

Cancel the common factor.

$y = \frac{3 (2 x)}{3 \cdot 1} + \frac{- 12}{3}$

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{- 12}{3}$

Divide $2 x$ by $1$ .

$y = 2 x + \frac{- 12}{3}$

Divide $- 12$ by $3$ .

$y = 2 x - 4$

Step 2

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

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

$m = 2$

$b = - 4$

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

Slope: $2$

y-intercept: $(0, - 4)$

Slope: $2$

y-intercept: $(0, - 4)$

Step 3