To graph the proportional relationship \( y = -2x \), we can start by plotting some points based on the equation.
Let's substitute some values for \( x \):
-
If \( x = 0 \): \[ y = -2(0) = 0 \quad \text{(Point: } (0, 0) \text{)} \]
-
If \( x = 1 \): \[ y = -2(1) = -2 \quad \text{(Point: } (1, -2) \text{)} \]
-
If \( x = 2 \): \[ y = -2(2) = -4 \quad \text{(Point: } (2, -4) \text{)} \]
This gives us the points \( (0, 0) \), \( (1, -2) \), and \( (2, -4) \).
Now, let's check the answer choices:
A) \( (0, 0) \) \( (1, 2) \) \( (2, 4) \)
B) \( (0, 0) \) \( (1, -2) \) \( (2, -4) \)
C) \( (0, 0) \) \( (1, -1) \) \( (2, -2) \)
D) \( (0, 0) \) \( (1, 5) \) \( (2, 10) \)
Based on our calculations, the correct answer is B: \( (0, 0) \) \( (1, -2) \) \( (2, -4) \).