Question

Li believes that the graph shows a direct variation.

On a coordinate plane, a line goes through points (0, 1) and (2, 0).

Why is Li incorrect in saying that the graph shows a direct variation?
The graph does not have a constant rate of change.
When the x-value is 0, the y-value is 1.
The slope is negative.
The relationship is proportional.

Answer 1

"When the x-value is 0, the y-value is 1."

A direct variation has form y = kx and must pass through the origin (0,0). This line has y-intercept 1, so it is not a direct variation.