Question

Write the equation that best represents the relationship between x and y shown in the graph.

X Z
2. 4
6. 12.
8. 16.


Write equation

Answer 1

To find the equation that best represents the relationship between \( x \) and \( y \) based on the values provided, we can start by identifying the pattern or relationship in the given data points.

The data points are:

- \( (2, 4) \)
- \( (6, 12) \)
- \( (8, 16) \)

Notice that if you look at the values of \( y \) in relation to \( x \):

- For \( x = 2 \), \( y = 4 \) (which is \( 2 \times 2 \))
- For \( x = 6 \), \( y = 12 \) (which is \( 6 \times 2 \))
- For \( x = 8 \), \( y = 16 \) (which is \( 8 \times 2 \))

From this observation, it appears that \( y \) is always 2 times \( x \).

Thus, we can express the relationship with the equation:

\[
y = 2x
\]

This equation best represents the relationship between \( x \) and \( y \) demonstrated in the graph.