Graph y>=3x-5 y<-x-1

$y \geq 3 x - 5$ $y < - x - 1$

Step 1

Graph $y \geq 3 x - 5$ .

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 $y = m x + b$ .

$m = 3$

$b = - 5$

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

Slope: $3$

y-intercept: $(0, - 5)$

Slope: $3$

y-intercept: $(0, - 5)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $3 x - 5$ .

$y \geq 3 x - 5$

Step 2

Graph $y < - x - 1$ .

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 $y = m x + b$ .

$m = - 1$

$b = - 1$

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

Slope: $- 1$

y-intercept: $(0, - 1)$

Slope: $- 1$

y-intercept: $(0, - 1)$

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $- x - 1$ .

$y < - x - 1$

Step 3

Plot each graph on the same coordinate system.

$y \geq 3 x - 5$

$y < - x - 1$

Step 4