The equation \( X = 3y \) establishes a linear relationship between the variables \( X \) and \( y \).
To analyze or manipulate this equation, consider the following points:
Solving for \( y \): If you want to express \( y \) in terms of \( X \), you can rearrange the equation: \[ y = \frac{X}{3} \]
Graphing: This equation represents a straight line in the coordinate plane, where the slope is 3 and the y-intercept is 0. If you were to graph this equation, you would plot points such as \( (0, 0) \), \( (3, 1) \), \( (6, 2) \), etc.
Finding values: You can substitute any value for \( y \) to find the corresponding \( X \) or vice versa. For example:
- If \( y = 2 \): \[ X = 3 \cdot 2 = 6 \]
- If \( X = 9 \): \[ y = \frac{9}{3} = 3 \]
If you have any specific questions or need further explanations, feel free to ask!
