which graphs display a directly proportional relationship? check all that apply.
which graphs display a directly proportional relationship? check all that apply.
Answer
Explanation:
Step1: Recall direct - proportion property
A directly proportional relationship has the form $y = kx$ where $k\neq0$, and its graph is a straight - line passing through the origin $(0,0)$.
Step2: Analyze each graph
- For the first graph: It does not pass through the origin, so it is not a directly proportional relationship.
- For the second graph: It is a straight - line passing through the origin. So, it represents a directly proportional relationship.
- For the third graph: It does not pass through the origin, so it is not a directly proportional relationship.
- For the fourth graph: It is a straight - line passing through the origin. So, it represents a directly proportional relationship.
Answer:
The second and fourth graphs display a directly proportional relationship.