Find the Slope and y-intercept -2(x+3y)=12

$- 2 (x + 3 y) = 12$

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.

$y = m x + b$

Simplify the left side.

Simplify $- 2 (x + 3 y)$ .

Apply the distributive property.

$- 2 x - 2 (3 y) = 12$

Multiply $3$ by $- 2$ .

$- 2 x - 6 y = 12$

Add $2 x$ to both sides of the equation.

$- 6 y = 12 + 2 x$

Divide each term in $- 6 y = 12 + 2 x$ by $- 6$ and simplify.

Divide each term in $- 6 y = 12 + 2 x$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{12}{- 6} + \frac{2 x}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{12}{- 6} + \frac{2 x}{- 6}$

Divide $y$ by $1$ .

$y = \frac{12}{- 6} + \frac{2 x}{- 6}$

Simplify the right side.

Simplify each term.

Divide $12$ by $- 6$ .

$y = - 2 + \frac{2 x}{- 6}$

Cancel the common factor of $2$ and $- 6$ .

Factor $2$ out of $2 x$ .

$y = - 2 + \frac{2 (x)}{- 6}$

Cancel the common factors.

Factor $2$ out of $- 6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

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

Reorder $- 2$ and $- \frac{x}{3}$ .

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

Reorder terms.

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

Remove parentheses.

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

Step 2

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

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

$m = - \frac{1}{3}$

$b = - 2$

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

Slope: $- \frac{1}{3}$

y-intercept: $(0, - 2)$

Slope: $- \frac{1}{3}$

y-intercept: $(0, - 2)$

Step 3

Find the Slope and y-intercept -2(x+3y)=12

Related Questions

Support LCMGCF.com by disabling your adblocker.