Graph y-x>-x^2-1

$y - x > - x^{2} - 1$

Add $x$ to both sides of the inequality.

$y > - x^{2} - 1 + x$

Find the slope and the y-intercept for the boundary line.

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.

$y = m x + b$

Move $- 1$ .

$y > - x^{2} + x - 1$

The equation is not linear, so a constant slope does not exist.

Not Linear

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

$y > - x^{2} - 1 + x$