Graph y<-1/2x+2

$y < \frac{- 1}{2} x + 2$

Step 1

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

Simplify each term.

Move the negative in front of the fraction.

$y < - \frac{1}{2} x + 2$

Combine $x$ and $\frac{1}{2}$ .

$y < - \frac{x}{2} + 2$

Reorder terms.

$y < - (\frac{1}{2} x) + 2$

Remove parentheses.

$y < - \frac{1}{2} x + 2$

Step 2

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

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

$m = - \frac{1}{2}$

$b = 2$

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

Slope: $- \frac{1}{2}$

y-intercept: $(0, 2)$

Slope: $- \frac{1}{2}$

y-intercept: $(0, 2)$

Step 3

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $- \frac{1}{2} x + 2$ .

$y < - \frac{1}{2} x + 2$

Step 4