Graph 20y<=24x

$20 y \leq 24 x$

Step 1

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

Divide each term in $20 y \leq 24 x$ by $20$ and simplify.

Divide each term in $20 y \leq 24 x$ by $20$ .

$\frac{20 y}{20} \leq \frac{24 x}{20}$

Simplify the left side.

Cancel the common factor of $20$ .

Cancel the common factor.

$\frac{20 y}{20} \leq \frac{24 x}{20}$

Divide $y$ by $1$ .

$y \leq \frac{24 x}{20}$

Simplify the right side.

Cancel the common factor of $24$ and $20$ .

Factor $4$ out of $24 x$ .

$y \leq \frac{4 (6 x)}{20}$

Cancel the common factors.

Factor $4$ out of $20$ .

$y \leq \frac{4 (6 x)}{4 (5)}$

Cancel the common factor.

$y \leq \frac{4 (6 x)}{4 \cdot 5}$

Rewrite the expression.

$y \leq \frac{6 x}{5}$

Reorder terms.

$y \leq \frac{6}{5} x$

Step 2

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

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

$m = \frac{6}{5}$

$b = 0$

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

Slope: $\frac{6}{5}$

y-intercept: $(0, 0)$

Slope: $\frac{6}{5}$

y-intercept: $(0, 0)$

Step 3

Graph a solid line, then shade the area below the boundary line since $y$ is less than $\frac{6}{5} x$ .

$y \leq \frac{6}{5} x$

Step 4