Sara graphs a line passing through points that represent a proportional relationship. Which set of points could be on the line that Sara graphs?

Answer 1

The set of points that could be on the line that Sara graphs are points that represent a proportional relationship. In a proportional relationship, the ratio between the y-values and x-values remains constant. Therefore, any set of points where the y-values are a constant multiple of the corresponding x-values could be on the line.

For example, if the line passes through the point (1,2), which means that when x=1, y=2, then the following sets of points could be on the line:
- (2,4), (3,6), (4,8), ...
- (0.5,1), (1.5,3), (2.5,5), ...
- (-1,-2), (-2,-4), (-3,-6), ...

All of these sets of points have a constant ratio of y-values to x-values, which means they represent a proportional relationship and could be on the line that Sara graphs.