which linear relationship can be described as a function with direct variation?
which linear relationship can be described as a function with direct variation?
Answer
Explanation:
Step1: Recall direct - variation definition
A linear relationship $y = kx$ (where $k\neq0$) is a direct - variation function. Its graph is a straight line passing through the origin $(0,0)$.
Step2: Analyze each graph
- For the first graph, the line does not pass through the origin.
- For the second graph, the line passes through the origin $(0,0)$. It represents a function of the form $y = kx$ (where $k$ is the slope of the line).
- For the third graph, it is a horizontal line of the form $y = c$ ($c\neq0$), not of the form $y = kx$.
- For the fourth graph, it is a vertical line, which is not a function.
Answer:
The second graph.