Graph y>x-4 y<=-3x-8

$y > x - 4$ $y \leq - 3 x - 8$

Step 1

Graph $y > x - 4$ .

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 $y = m x + b$ .

$m = 1$

$b = - 4$

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

Slope: $1$

y-intercept: $(0, - 4)$

Slope: $1$

y-intercept: $(0, - 4)$

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $x - 4$ .

$y > x - 4$

Step 2

Graph $y \leq - 3 x - 8$ .

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 $y = m x + b$ .

$m = - 3$

$b = - 8$

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

Slope: $- 3$

y-intercept: $(0, - 8)$

Slope: $- 3$

y-intercept: $(0, - 8)$

Graph a solid line, then shade the area below the boundary line since $y$ is less than $- 3 x - 8$ .

$y \leq - 3 x - 8$

Step 3

Plot each graph on the same coordinate system.

$y > x - 4$

$y \leq - 3 x - 8$

Step 4