Graph y<=-2x-4y

$y \leq - 2 x - 4 y$

Step 1

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

Solve for $y$ .

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

Add $4 y$ to both sides of the inequality.

$y + 4 y \leq - 2 x$

Add $y$ and $4 y$ .

$5 y \leq - 2 x$

Divide each term in $5 y \leq - 2 x$ by $5$ and simplify.

Divide each term in $5 y \leq - 2 x$ by $5$ .

$\frac{5 y}{5} \leq \frac{- 2 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} \leq \frac{- 2 x}{5}$

Divide $y$ by $1$ .

$y \leq \frac{- 2 x}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y \leq - \frac{2 x}{5}$

Reorder terms.

$y \leq - (\frac{2}{5} x)$

Remove parentheses.

$y \leq - \frac{2}{5} x$

Step 2

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

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

$m = - \frac{2}{5}$

$b = 0$

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

Slope: $- \frac{2}{5}$

y-intercept: $(0, 0)$

Slope: $- \frac{2}{5}$

y-intercept: $(0, 0)$

Step 3

Graph a solid line, then shade the area below the boundary line since $y$ is less than $- \frac{2}{5} x$ .

$y \leq - \frac{2}{5} x$

Step 4