The problem asks us to identify which of the given ordered pairs satisfy the equation $\frac{2}{3}y = -\frac{1}{2}x$. We need to test each ordered pair in the equation.

1. Problem Description

The problem asks us to identify which of the given ordered pairs satisfy the equation $\frac{2}{3}y = -\frac{1}{2}x$. We need to test each ordered pair in the equation.

2. Solution Steps

We will substitute the $x$ and $y$ values from each ordered pair into the equation $\frac{2}{3}y = -\frac{1}{2}x$ and see if the equation holds true.

* (8, -6):

$\frac{2}{3}(-6) = -\frac{1}{2}(8)$

$-4 = -4$. This is true.

* (4, -3):

$\frac{2}{3}(-3) = -\frac{1}{2}(4)$

$-2 = -2$. This is true.

* (0, 0):

$\frac{2}{3}(0) = -\frac{1}{2}(0)$

$0 = 0$. This is true.

* (-4, -3):

$\frac{2}{3}(-3) = -\frac{1}{2}(-4)$

$-2 = 2$. This is false.

* (-4, 3):

$\frac{2}{3}(3) = -\frac{1}{2}(-4)$

$2 = 2$. This is true.

* (-8, 6):

$\frac{2}{3}(6) = -\frac{1}{2}(-8)$

$4 = 4$. This is true.

3. Final Answer

The ordered pairs that satisfy the equation are (8, -6), (4, -3), (0, 0), (-4, 3), and (-8, 6).