Interactive resource
Linear Function Graphing Tool
Functions. Free interactive linear function graphing tool. Adjust slope k and intercept b to see how a line tilts and shifts — ideal for class demos.
Overview
The graph of y = kx + b is a straight line. k controls tilt; b controls the y-intercept. Dragging parameters makes “change slope vs translate” obvious.
Explanation
y = kx + b (k ≠ 0) graphs as a straight line.
k is the slope: k > 0 rises, k < 0 falls; larger |k| is steeper.
b is the y-intercept at (0, b); changing b shifts the line vertically without changing tilt.
How to use
- Open the linear function visualization.
- Change k to see rising/falling steepness.
- Change b to translate the line vertically.
- Have learners state what k and b each control.
Classroom example
Compare k = 1 and k = −2 for sign and steepness. Then keep k fixed and vary only b to show translation without changing tilt.
Knowledge points
FAQ
Is this useful for slope-intercept lessons?
Yes. Project and drag live so slope and intercept become observable, not just definitions.
Is this tool free?
Yes. It runs in the browser with no install.
Good for class demos?
Yes — project it and ask what changes when you drag a parameter.
How do I write the formula afterward?
Open the equation editor or symbol sheet and copy a clean expression.