Graph y+4<=1/2x-2

$y + 4 \leq \frac{1}{2} x - 2$

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

Solve for $y$ .

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

$y + 4 \leq \frac{x}{2} - 2$

Move all terms not containing $y$ to the right side of the inequality.

Subtract $4$ from both sides of the inequality.

$y \leq \frac{x}{2} - 2 - 4$

Subtract $4$ from $- 2$ .

$y \leq \frac{x}{2} - 6$

Reorder terms.

$y \leq \frac{1}{2} x - 6$

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

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

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

$b = - 6$

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: $(0, - 6)$

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

y-intercept: $(0, - 6)$

Graph a solid line, then shade the area below the boundary line since $y$ is less than $\frac{1}{2} x - 6$ .

$y \leq \frac{1}{2} x - 6$