MAT 144 · Topic 01 · Linear Systems Lab

Line Graph Explorer

A live sandbox for y = mx + b. Move the sliders to see slope and intercept change the geometry in real time, then run four adaptive drills that build the intuition you'll need for reading slope as a rate of change, predicting with linear models, and the interest and payment rates you'll meet in Topics 3 and 4.
Slope–InterceptPrimary
Standard FormAx+By=C
Point–Slopey−y₁=m(x−x₁)
x, y ∈ [-10, 10]
live
Slope m 1
−5.0STEP 0.5+5.0
y-Intercept b 0
−10STEP 1+10