Guides · Math
Linear Functions Intuition Basics
Understand slope and intercept
This guide explains linear functions as “constant rate” relationships: how slope represents change per unit, how intercept sets the starting point, and how to sanity-check linear models with units and ranges.
- linear functions
- slope
- intercept
- rate
- units
Slope as a rate
Slope tells you how much y changes when x increases by 1; always interpret with units.
Intercept as a baseline
The intercept is the y value when x=0; it sets the starting level.
Graph meaning
A straight line means constant rate; steeper lines mean larger rate changes.
Use and limits
Linear models work over ranges where rate is roughly constant; don't extrapolate blindly.
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