Graph y<-2/5x-2/5

$y < - \frac{2}{5} x - \frac{2}{5}$

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.

Simplify each term.

Combine $x$ and $\frac{2}{5}$ .

$y < - \frac{x \cdot 2}{5} - \frac{2}{5}$

Move $2$ to the left of $x$ .

$y < - \frac{2 x}{5} - \frac{2}{5}$

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

Reorder terms.

$y < - (\frac{2}{5} x) - \frac{2}{5}$

Remove parentheses.

$y < - \frac{2}{5} x - \frac{2}{5}$

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

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

$m = - \frac{2}{5}$

$b = - \frac{2}{5}$

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

Slope: $- \frac{2}{5}$

y-intercept: $(0, - \frac{2}{5})$

Slope: $- \frac{2}{5}$

y-intercept: $(0, - \frac{2}{5})$

Slope: $- \frac{2}{5}$

y-intercept: $(0, - \frac{2}{5})$

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $- \frac{2}{5} x - \frac{2}{5}$ .

$y < - \frac{2}{5} x - \frac{2}{5}$