Graph xy>0

$x y > 0$

Step 1

Divide each term in $x y > 0$ by $x$ and simplify.

Divide each term in $x y > 0$ by $x$ .

$\frac{x y}{x} > \frac{0}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} > \frac{0}{x}$

Divide $y$ by $1$ .

$y > \frac{0}{x}$

Simplify the right side.

Divide $0$ by $x$ .

$y > 0$

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 $y = m x + b$ .

$m = 0$

$b = 0$

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

Slope: $0$

y-intercept: $(0, 0)$

Slope: $0$

y-intercept: $(0, 0)$

Step 3

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $0$ .

$y > 0$

Step 4