The table you've provided shows a relationship between the variables $x$ and $y$. From the table, the $y$-value remains constant at 5 regardless of the value of $x$.

Analysis

This suggests that $y$ is independent of $x$. The equation that represents this relationship is:

$y = 5$

Explanation:

This is a horizontal line on the coordinate plane, where the $y$-value is always 5 no matter the $x$-value. The slope of this line is 0, which means there is no change in $y$ as $x$ changes.

Would you like further explanation or have any related questions?

5 Related Questions:

1. What is the general form of a horizontal line equation?
2. How would the graph of this equation look on a coordinate plane?
3. What does it mean when a variable is independent of another in a function?
4. How can you determine the slope of this line from the table?
5. Can you provide an example of a real-world situation where $y$ would be constant?

Tip:

For a constant $y$-value like this, the slope between any two points will always be zero, since the change in $y$ ($\Delta y$) is zero.