The function $y = x + 10$ is linear.

Explanation:

A function is linear if it can be written in the form: $y = mx + b$ where:

• $m$ is the slope (constant rate of change),
• $b$ is the y-intercept.

In this case, the function $y = x + 10$ fits this form, where $m = 1$ and $b = 10$. There are no exponents on the variable $x$, and the function represents a straight line with a constant slope of 1, making it linear.

Would you like more details on this or have any further questions?

Here are five related questions:

1. What makes a function nonlinear?
2. How do you find the slope of a linear function?
3. Can a linear function have a slope of zero? What does that mean?
4. What is the graph of $y = x + 10$ like?
5. How can you determine the y-intercept of a linear function?

Tip: A function is linear if its graph is a straight line, and nonlinear if its graph curves.