Graph x+y>3 x+y<5

$x + y > 3$ $x + y < 5$

Graph $x + y > 3$ .

Write in $y = m x + b$ form.

Subtract $x$ from both sides of the inequality.

$y > 3 - x$

Rearrange terms.

$y > - x + 3$

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 $y = m x + b$ .

$m = - 1$

$b = 3$

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

Slope: $- 1$

y-intercept: $(0, 3)$

Slope: $- 1$

y-intercept: $(0, 3)$

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

$y > - x + 3$

Graph $x + y < 5$ .

Write in $y = m x + b$ form.

Subtract $x$ from both sides of the inequality.

$y < 5 - x$

Rearrange terms.

$y < - x + 5$

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

$y < - x + 5$

Plot each graph on the same coordinate system.

$x + y > 3$

$x + y < 5$