Constructing Linear Functions: Defining Equations

This video tutorial explains how to define a linear function by constructing an equation. It introduces the concepts of initial value and rate of change, using a practical example of a hiker descending a mountain. The tutorial guides viewers through identifying patterns, forming equations, and using these equations to predict outcomes. The key formula y = mx + b is explained, where m is the rate of change and b is the initial value.

What equation can be derived from the pattern of Greg's hike?

How does the initial value affect the output in a linear function?

What does the variable 'm' represent in the equation of a linear function?