Question

1. (proportional relationship) line kn represents a proportional relationship. point n lies at (18,12), as shown on the graph below. which ordered pair could represent the coordinates of point k?

• 10 points

options: (6,0), (2,3), (1.5,0), (7.5,5)

Explanation:

Step1: Find the constant of proportionality

The proportional relationship is $y = kx$. For point N (18,12), $k = \frac{12}{18} = \frac{2}{3}$.

Step2: Check each option

• (6,0): $0 = \frac{2}{3}×6$? $0≠4$ → No.
• (2,3): $3 = \frac{2}{3}×2$? $3≠\frac{4}{3}$ → No.
• (1.5,0): $0 = \frac{2}{3}×1.5$? $0≠1$ → No.
• (7.5,5): $5 = \frac{2}{3}×7.5$? $5=5$ → Yes.

Answer:

(7.5,5)