Graph x<=y/9

$x \leq \frac{y}{9}$

Step 1

Solve for $y$ .

Multiply both sides by $9$ .

$x \cdot 9 \leq \frac{y}{9} \cdot 9$

Simplify.

Simplify the left side.

Move $9$ to the left of $x$ .

$9 x \leq \frac{y}{9} \cdot 9$

Simplify the right side.

Cancel the common factor of $9$ .

Cancel the common factor.

$9 x \leq \frac{y}{9} \cdot 9$

Rewrite the expression.

$9 x \leq y$

Rewrite so $y$ is on the left side of the inequality.

$y \geq 9 x$

Step 2

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

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

$y = m x + b$

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

$m = 9$

$b = 0$

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

Slope: $9$

y-intercept: $(0, 0)$

Slope: $9$

y-intercept: $(0, 0)$

Step 3

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $9 x$ .

$y \geq 9 x$

Step 4