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)
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 [tex]\frac{y}{x}=k[/tex] 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
