Graph y>x^2-9 y<=x-6

$y > x^{2} - 9$ $y \leq x - 6$

Graph $y > x^{2} - 9$ .

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 $x^{2} - 9$ .

$y > x^{2} - 9$

Graph $y \leq x - 6$ .

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

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

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

$m = 1$

$b = - 6$

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

Slope: $1$

y-intercept: $(0, - 6)$

Slope: $1$

y-intercept: $(0, - 6)$

Graph a solid line, then shade the area below the boundary line since $y$ is less than $x - 6$ .

$y \leq x - 6$

Plot each graph on the same coordinate system.

$y > x^{2} - 9$

$y \leq x - 6$