Graph y>-x-1y

$y > - x - 1 y$

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

Solve for $y$ .

Rewrite $- 1 y$ as $- y$ .

$y > - x - y$

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

Add $y$ to both sides of the inequality.

$y + y > - x$

Add $y$ and $y$ .

$2 y > - x$

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

Divide each term in $2 y > - x$ by $2$ .

$\frac{2 y}{2} > \frac{- x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} > \frac{- x}{2}$

Divide $y$ by $1$ .

$y > \frac{- x}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$y > - \frac{x}{2}$

Reorder terms.

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

Remove parentheses.

$y > - \frac{1}{2} x$

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

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

$m = - \frac{1}{2}$

$b = 0$

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

Slope: $- \frac{1}{2}$

y-intercept: $(0, 0)$

Slope: $- \frac{1}{2}$

y-intercept: $(0, 0)$

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $- \frac{1}{2} x$ .

$y > - \frac{1}{2} x$