The problem asks us to identify which of the given ordered pairs $(x, y)$ satisfy the equation $3x + 7y = -12$.

1. Problem Description

The problem asks us to identify which of the given ordered pairs $(x, y)$ satisfy the equation $3x + 7y = -12$.

2. Solution Steps

We need to substitute each ordered pair into the equation $3x + 7y = -12$ and check if the equation holds true.

* Check (6, 0):

$3(6) + 7(0) = 18 + 0 = 18$. Since $18 \neq -12$, (6, 0) is not a solution.

* Check (-6, 7):

$3(-6) + 7(7) = -18 + 49 = 31$. Since $31 \neq -12$, (-6, 7) is not a solution.

* Check (-4, 0):

$3(-4) + 7(0) = -12 + 0 = -12$. Since $-12 = -12$, (-4, 0) is a solution.

* Check (3, -3):

$3(3) + 7(-3) = 9 - 21 = -12$. Since $-12 = -12$, (3, -3) is a solution.

* Check (7, 6):

$3(7) + 7(6) = 21 + 42 = 63$. Since $63 \neq -12$, (7, 6) is not a solution.

* Check (0, 7):

$3(0) + 7(7) = 0 + 49 = 49$. Since $49 \neq -12$, (0, 7) is not a solution.

3. Final Answer

The ordered pairs that represent points on the graph of the equation are (-4, 0) and (3, -3).