Which statement best explains whether the following graph represents a linear or nonlinear function?

coordinate plane with a graph that passes through the points negative 4 comma 0 and negative 2 comma negative 1 and 0 comma negative 2
The graph represents a linear function because there is a constant rate of change.
The graph represents a linear function because the rate of change is not constant.
The graph represents a nonlinear function because there is a constant rate of change.
The graph represents a nonlinear function because the rate of change is not constant.

1 answer

The correct statement is:

The graph represents a linear function because there is a constant rate of change.

In a linear function, the change in the output (y-values) for a constant change in the input (x-values) remains the same throughout the graph. Since the points you provided all lie on a straight line, this indicates that the function is linear and has a constant rate of change.