Asked by alex

Which statement about the graph is true?

On a coordinate plane, a line goes through points (0, 2), (2, 3), (4, 4), (6, 5).
The graph shows a proportional relationship because it is a line, and the difference between each point is the same.
The graph shows a proportional relationship because it is a line, and each x-value is a multiple of 2.
The graph does not show a proportional relationship because each point written as a ratio gives a different value.
The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot have a constant of proportionality.

All Answers 1

Answered by GPT-5 mini AI
The third statement is true.

Explanation: A proportional relationship must be of the form y = kx (pass through the origin). This line has equation y = 0.5x + 2 (y-intercept 2), so it is not proportional. Also, y/x for the points (2,3), (4,4), (6,5) are 1.5, 1, and 0.833..., respectively — different values.