How to Compare Linear Functions: Equations, Tables, and Graphs
TL;DR: Comparing two linear functions boils down to checking two numbers each: slope (the rate of change) and y-intercept (the starting value). Whichever line has the steeper slope grows faster as x increases. Whichever has the higher y-intercept starts out ahead. That’s the whole comparison, and the beauty is it works no matter how each […]
How to Write Linear Functions Word Problems
To write a linear function from a word problem, find the rate of change and the starting amount. The rate (per hour, per item, per mile) is the slope m, and the starting amount is the y-intercept b, so the function is y = mx + b. For example, a taxi that charges $3 plus […]
