Question

a line represents a proportional relationship. Which set of points could be on the line? A) (−4, 1), (2, 4), (6, 6), (14,10) Eliminate B) (6, 8), (4, 0), (18, 24), (20, 26) C) (3, 6), (4, 8), (9, 4), (11, 2) D) (1, 1), (2, 1), (3, 3), (4, 2)

Answer 1

I think it is A i just did the test

−4, 1), (2, 4), (6, 6), (14,10)

Answer 2

A.

Explanation:

1) Algebraically, to check the proportionality simply divide the y-coordinate by the x-coordinate then find k. The ratio (k) of a proportional relationship must remain the same, i.e. constant.

2) Geometrically, a proportional line passes through the origin.

The set of points A could be on the line. Although it is not proportionally distributed, since the ratio
`(y)/(x)=k` does not remain the same and it does not passes through the Origin.

Plotting the dots on the graph, the only set that can be traced is A