Graph y<=3/5x-5

$y \leq \frac{3}{5} x - 5$

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 $\frac{3}{5}$ and $x$ .

$y \leq \frac{3 x}{5} - 5$

Reorder terms.

$y \leq \frac{3}{5} x - 5$

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

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

$m = \frac{3}{5}$

$b = - 5$

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

Slope: $\frac{3}{5}$

y-intercept: $(0, - 5)$

Slope: $\frac{3}{5}$

y-intercept: $(0, - 5)$

Slope: $\frac{3}{5}$

y-intercept: $(0, - 5)$

Step 2

Graph a solid line, then shade the area below the boundary line since $y$ is less than $\frac{3}{5} x - 5$ .

$y \leq \frac{3}{5} x - 5$

Step 3