Graph y>=x+2 y>=5-x

$y \geq x + 2$ $y \geq 5 - x$

Step 1

Graph $y \geq x + 2$ .

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 $y = m x + b$ .

$m = 1$

$b = 2$

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

Slope: $1$

y-intercept: $(0, 2)$

Slope: $1$

y-intercept: $(0, 2)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $x + 2$ .

$y \geq x + 2$

Step 2

Graph $y \geq 5 - x$ .

Reorder $5$ and $- x$ .

$y \geq - x + 5$

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 $y = m x + b$ .

$m = - 1$

$b = 5$

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

Slope: $- 1$

y-intercept: $(0, 5)$

Slope: $- 1$

y-intercept: $(0, 5)$

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

$y \geq - x + 5$

Step 3

Plot each graph on the same coordinate system.

$y \geq x + 2$

$y \geq 5 - x$

Step 4