Graph 3x+y>9

$3 x + y > 9$

Step 1

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

Subtract $3 x$ from both sides of the inequality.

$y > 9 - 3 x$

Rearrange terms.

$y > - 3 x + 9$

Step 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 $y = m x + b$ .

$m = - 3$

$b = 9$

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

Slope: $- 3$

y-intercept: $(0, 9)$

Slope: $- 3$

y-intercept: $(0, 9)$

Step 3

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $- 3 x + 9$ .

$y > - 3 x + 9$

Step 4