Question

Which statement is true about the graphed lines?

A) Only graph A represents a proportional relationship.
B) Only graph B represents a proportional relationship.
C) Graph A and graph B both represent a proportional relationship.
D) Graph A and graph B both represent a non-proportional relationship.

Answer 1

Answer:B) Only graph B represents a proportional relationship.

Explanation:

Answer 2

Answer: OPTION B.

Explanation:

For this exercise it is important to remember that:

1. Proportional relationships have the following form:

`y=kx`

Where "k" is the constant of proportionality.

2. The graph of a proportional relationship is an straight line that passes through the origin.

Observe the picture attached.

You can identify that:

- Graph A is a straight lines that does not pass through the origin. This means that it does not represent a proportional relationship.

- Graph B is a straight lines that passes through the origin. This means that it represents a proportional relationship.

Therefore, only Graph B represents a proportional relationship.