Question

5 - Which statement best explains whether the equation y equals one half times x minus 2 represents a linear or nonlinear function?

The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.

The equation represents a nonlinear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are not on a straight line.

The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.

The equation represents a linear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are on a straight line.

Answer 1

Explanation:

the 3rd answer option is correct.

both x and y appear only with the exponent 1, so, this function is a line and therefore a linear function.

the other answers are nonsense. the specified points do NOT lie on the functional line (or are NOT contained by the graph of the function).