Question #6448555Fill in the Blank
Algebra-2
Question

Is this line the graph of a direct variation function? (Answer with "Yes" or "No")
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to determine if a given line is a graph of a direct variation function. The student needs to check if the line passes through the origin and if the ratio of the coordinates is constant.
This question tests the ability to determine if a given line is a graph of a direct variation function. The student needs to check if the line passes through the origin and if the ratio of the coordinates is constant.
Key Concept Explanation
A direct variation function has the form , and its graph is a straight line passing through the origin. The constant of variation can be found using the ratio of the y-coordinate to the x-coordinate of any point on the line (except the origin).
A direct variation function has the form , and its graph is a straight line passing through the origin. The constant of variation can be found using the ratio of the y-coordinate to the x-coordinate of any point on the line (except the origin).
Step-by-step Solution
1. Identify the given points: and .
2. Check if the line passes through the origin: it does, since one of the points is
1. Identify the given points: and .
2. Check if the line passes through the origin: it does, since one of the points is
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