Graph y>-x/5+9

$y > - \frac{x}{5} + 9$

Step 1

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

Reorder terms.

$y > - (\frac{1}{5} x) + 9$

Remove parentheses.

$y > - \frac{1}{5} x + 9$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - \frac{1}{5}$

$b = 9$

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

Slope: $- \frac{1}{5}$

y-intercept: $(0, 9)$

Slope: $- \frac{1}{5}$

y-intercept: $(0, 9)$

Step 3

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $- \frac{1}{5} x + 9$ .

$y > - \frac{1}{5} x + 9$

Step 4