Question

Which ordered pair would form a proportional relationship with the point graphed below?

A.(20, -10)
B.(-20, 30)
C.(-30, 20)
D.(-10, 5)

Answer 1

The ordered pair that forms a proportional relationship with the given point is D.(-10, 5).

Step-by-step explanation:

The graph represents a straight line with a negative slope. In a proportional relationship, the ratio between the y-values and the x-values remains constant. Let's analyze the given options:

1. A.(20, -10): The ratio of y-values to x-values is -10/20 = -0.5, which is not constant and therefore not proportional.
2. B.(-20, 30): The ratio of y-values to x-values is 30/-20 = -1.5, which is not constant and therefore not proportional.
3. C.(-30, 20): The ratio of y-values to x-values is 20/-30 = -0.67, which is not constant and therefore not proportional.
4. D.(-10, 5): The ratio of y-values to x-values is 5/-10 = -0.5, which is constant and therefore proportional.

Therefore, the ordered pair that forms a proportional relationship with the given point is D.(-10, 5).