The problem asks us to identify which ordered pairs satisfy the equation $y = -4x$.

1. Problem Description

The problem asks us to identify which ordered pairs satisfy the equation $y = -4x$.

2. Solution Steps

We need to check each ordered pair $(x, y)$ to see if the equation $y = -4x$ holds true.

* (2, -1):

Substitute $x=2$ into the equation: $y = -4(2) = -8$. Since $-1 \neq -8$, (2, -1) is not on the graph.

* (-4, -3):

Substitute $x=-4$ into the equation: $y = -4(-4) = 16$. Since $-3 \neq 16$, (-4, -3) is not on the graph.

* (-5, 5):

Substitute $x=-5$ into the equation: $y = -4(-5) = 20$. Since $5 \neq 20$, (-5, 5) is not on the graph.

* (4, 0):

Substitute $x=4$ into the equation: $y = -4(4) = -16$. Since $0 \neq -16$, (4, 0) is not on the graph.

* (2, 5):

Substitute $x=2$ into the equation: $y = -4(2) = -8$. Since $5 \neq -8$, (2, 5) is not on the graph.

* (5, -4):

Substitute $x=5$ into the equation: $y = -4(5) = -20$. Since $-4 \neq -20$, (5, -4) is not on the graph.

* (-1, 4):

Substitute $x=-1$ into the equation: $y = -4(-1) = 4$. Since $4 = 4$, (-1, 4) is on the graph.

3. Final Answer

(-1, 4)