Pre-Algebra Examples

$y \leq - x$ , $y \geq | x + 4 |$

Step 1

Graph $y \leq - x$ .

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

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

$y = m x + b$

Step 1.1.2

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

$m = - 1$

$b = 0$

Step 1.1.3

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

Slope: $- 1$

y-intercept: $(0, 0)$

Slope: $- 1$

y-intercept: $(0, 0)$

Step 1.2

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

$y \leq - x$

Step 2

Graph $y \geq | x + 4 |$ .

Tap for more steps...

Step 2.1

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

Not Linear

Step 2.2

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $| x + 4 |$ .

$y \geq | x + 4 |$

Step 3

Plot each graph on the same coordinate system.

$y \leq - x$

$y \geq | x + 4 |$

Step 4