A line passing through which of the following pairs of coordinates represents a proportional relationship?

A(1, 3) and (3, 6)
B(2, 5) and (4, 6)
C(2, 4) and (5, 6)
D(3, 6) and (4, 8)

However, in this case we only have one pair of points. A specific characteristic of proportional relationship in this case is that such ratio is a whole number: ±1, ±2, ±3, ±4, ±5,... ±n.

In this case, the last pair of point fulfil this characteristic. We demonstrate that by finding the ratio, which is the slope of the linear relationship

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Where \((x_{1} ,y_{1} )\) is the first point and \((x_{2} ,y_{2} )\) is the second point. Replacing these points, we have

\(m=\frac{8-6}{4-3}=\frac{2}{1}=2\)

So option D has a proportional relationship with a constant ratio of 2.

A line passing through which of the following pairs of coordinates represents a proportional relationship? A(1, 3) and (3, 6)B(2, 5) and (4, 6)C(2, 4) and (5, 6)D(3, 6) and (4, 8)

Verified Answer :

D. (3, 6) and (4, 8)

Related Questions

A line passing through which of the following pairs of coordinates represents a proportional relationship?

A(1, 3) and (3, 6)
B(2, 5) and (4, 6)
C(2, 4) and (5, 6)
D(3, 6) and (4, 8)