which graph does not represent a proportional relationship? a b c d
which graph does not represent a proportional relationship? a b c d
Answer
Explanation:
Step1: Recall proportional - relationship graph property
A proportional relationship has the form $y = kx$ ($k\neq0$), and its graph is a straight - line passing through the origin $(0,0)$.
Step2: Analyze each graph
- Graph A: It is a straight - line passing through the origin. So it represents a proportional relationship.
- Graph B: It is a straight - line passing through the origin. So it represents a proportional relationship.
- Graph C: It is a straight - line passing through the origin. So it represents a proportional relationship.
- Graph D: It is a parabola (a quadratic function graph) and not a straight - line passing through the origin. So it does not represent a proportional relationship.
Answer:
D