We are given the equation $y = -3x + 2$ and a set of ordered pairs. We need to select all the ordered pairs that satisfy the given equation.

1. Problem Description

We are given the equation $y = -3x + 2$ and a set of ordered pairs. We need to select all the ordered pairs that satisfy the given equation.

2. Solution Steps

We will plug in the x and y values of each ordered pair into the equation $y = -3x + 2$ and check if the equation holds true.

(1) (-1, 5):

$5 = -3(-1) + 2$

$5 = 3 + 2$

$5 = 5$. This is true.

(2) (3, -7):

$-7 = -3(3) + 2$

$-7 = -9 + 2$

$-7 = -7$. This is true.

(3) (1, -1):

$-1 = -3(1) + 2$

$-1 = -3 + 2$

$-1 = -1$. This is true.

(4) (0, 2):

$2 = -3(0) + 2$

$2 = 0 + 2$

$2 = 2$. This is true.

(5) (2, -4):

$-4 = -3(2) + 2$

$-4 = -6 + 2$

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

(6) (-2, -6):

$-6 = -3(-2) + 2$

$-6 = 6 + 2$

$-6 = 8$. This is false.

Therefore, the ordered pairs that satisfy the equation are (-1, 5), (3, -7), (1, -1), (0, 2), and (2, -4).

3. Final Answer

(-1, 5), (3, -7), (1, -1), (0, 2), (2, -4)