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

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

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

Solve for $y$ .

Combine $\frac{1}{4}$ and $x$ .

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

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

Subtract $2$ from both sides of the inequality.

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

Subtract $2$ from $- 1$ .

$y \leq \frac{x}{4} - 3$

Reorder terms.

$y \leq \frac{1}{4} x - 3$

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

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

$m = \frac{1}{4}$

$b = - 3$

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

Slope: $\frac{1}{4}$

y-intercept: $(0, - 3)$

Slope: $\frac{1}{4}$

y-intercept: $(0, - 3)$

Graph a solid line, then shade the area below the boundary line since $y$ is less than $\frac{1}{4} x - 3$ .

$y \leq \frac{1}{4} x - 3$