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.

OPTION B.

Step-by-step explanation:

For this exercise it is important to remember that:

1.  Proportional relationships have the following form:

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.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

a: inscribed angles

step-by-step explanation:

i reviewed this question with a peer and teacher, seems to be correct, me later