To graph the proportional relationship \( y = -2x \), we need to select points that satisfy this equation.
The equation means that for any \( x \), \( y \) will be double its negative value. Let's check each option:
A. \( (2, 4), (1, 2), (0, 0) \)
- For \( x = 2 \): \( y = -2(2) = -4 \) (not \( 4 \))
- For \( x = 1 \): \( y = -2(1) = -2 \) (not \( 2 \))
- For \( x = 0 \): \( y = -2(0) = 0 \) (correct)
None of the points in this option satisfy the equation except for \( (0, 0) \).
B. \( (0, 0), (1, -1), (2, -2) \)
- For \( x = 0 \): \( y = -2(0) = 0 \) (correct)
- For \( x = 1 \): \( y = -2(1) = -2 \) (not \( -1 \))
- For \( x = 2 \): \( y = -2(2) = -4 \) (not \( -2 \))
Only the first point is correct.
C. \( (0, 0), (1, -2), (2, -4) \)
- For \( x = 0 \): \( y = -2(0) = 0 \) (correct)
- For \( x = 1 \): \( y = -2(1) = -2 \) (correct)
- For \( x = 2 \): \( y = -2(2) = -4 \) (correct)
All points satisfy the equation.
D. \( (2, 10), (1, 5), (0, 0) \)
- For \( x = 2 \): \( y = -2(2) = -4 \) (not \( 10 \))
- For \( x = 1 \): \( y = -2(1) = -2 \) (not \( 5 \))
- For \( x = 0 \): \( y = -2(0) = 0 \) (correct)
Only the last point is correct.
Based on the verification, the correct answer is:
C. (0, 0), (1, -2), (2, -4).
1 answer