Graph y<=1/3x-4/3

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

Step 1

Find the slope and the y-intercept for the boundary line.

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Simplify the right side.

Combine $\frac{1}{3}$ and $x$ .

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

Reorder terms.

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

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

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

$m = \frac{1}{3}$

$b = - \frac{4}{3}$

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

Slope: $\frac{1}{3}$

y-intercept: $(0, - \frac{4}{3})$

Slope: $\frac{1}{3}$

y-intercept: $(0, - \frac{4}{3})$

Slope: $\frac{1}{3}$

y-intercept: $(0, - \frac{4}{3})$

Step 2

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

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

Step 3