Question

Which characteristics tell you that this graph shows a proportional relationship? Check all that apply.
Three points are on the graph.
A straight line can be drawn through the points.
The ordered pairs all have the same x- and y-values.
The line connecting the points passes through the origin. g a Graph
On a coordinate plane, points (1, 2), (3, 6), and (5, 10) are plotted.

Answer 1

Check:
- A straight line can be drawn through the points.
- The line connecting the points passes through the origin.

Explanation: A proportional relationship is a linear one that goes through the origin. Here the points lie on a straight line and each has y/x = 2 (constant of proportionality 2), so the line passes through (0,0). "Three points are on the graph" alone doesn’t guarantee proportionality, and "the ordered pairs all have the same x- and y-values" is false for these points.