Question

The points (0, 1) and (1, 4) are contained in the graph of an equation with only two variables, x and y. Select all of the true statements.

A. There is exactly one equation in the form y=mx+b that contains these points.

B. There are two equations in the form y=mx+bˣ that contain these points.

C. There are no equations in the form y=a⋅b that contain these points.

D. There is exactly one in the form y=a⋅bx that contains these points.

E. There is more than one equation in the form y=a⋅b that contains these points.

Answer 1

The correct statements are A, B, and C.

Step-by-step explanation:

A. There is exactly one equation in the form y=mx+b that contains these points.

B. There are two equations in the form y=mx+bˣ that contain these points.

C. There are no equations in the form y=a⋅b that contain these points.

D. There is exactly one in the form y=a⋅bx that contains these points.

E. There is more than one equation in the form y=a⋅b that contains these points.

The correct statements are A, B, and C. A is true because there is exactly one equation (y = 3x + 1) in the form y=mx+b that passes through the given points. B is true because there are two equations (y = 3x + 1 and y = 3x + 4) in the form y=mx+bˣ that pass through the given points. C is true because there are no equations in the form y=a⋅b that contain the given points.