To write the equation of a linear function based on a relationship shown in a table, I would need to see the specific values in that table. However, I can help you determine how to write a linear equation with the information given.
A linear function can be generally represented in the form \(y = mx + b\), where:
- \(m\) is the slope (the rate of change of \(y\) with respect to \(x\)),
- \(b\) is the y-intercept (the value of \(y\) when \(x = 0\)).
You can determine the correct equation by:
- Identifying the slope \(m\) from the change in \(y\) over the change in \(x\) from the table values.
- Using one of the points (an ordered pair \((x, y)\) from the table) to find the y-intercept \(b\).
If you provide the table values, I can help derive the specific linear equation for you!