practice representing special linear relationships. which linear relationship can be described as a function…
practice representing special linear relationships. 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. Its graph passes through the origin $(0,0)$.
Step2: Check each graph
- For the first graph, the line does not pass through the origin.
- For the second graph, the line passes through the origin $(0,0)$. This represents a direct - variation.
- For the third graph, it is a horizontal line (not of the form $y = kx$) and does not pass through the origin.
- For the fourth graph, it is a vertical line (not a function and not of the form $y = kx$) and does not pass through the origin.
Answer:
The second graph represents a function with direct variation.