Graph y<x+7 y<-2x-5

$y < x + 7$ $y < - 2 x - 5$

Step 1

Graph $y < x + 7$ .

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 $y = m x + b$ .

$m = 1$

$b = 7$

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

Slope: $1$

y-intercept: $(0, 7)$

Slope: $1$

y-intercept: $(0, 7)$

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $x + 7$ .

$y < x + 7$

Step 2

Graph $y < - 2 x - 5$ .

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 $y = m x + b$ .

$m = - 2$

$b = - 5$

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

Slope: $- 2$

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

Slope: $- 2$

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

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $- 2 x - 5$ .

$y < - 2 x - 5$

Step 3

Plot each graph on the same coordinate system.

$y < x + 7$

$y < - 2 x - 5$

Step 4