IntroLines

Slope-Intercept

y = mx + b

Overview

The slope-intercept form is the most intuitive way to write a line. m is the slope, b is the y-intercept.

Domain

(-∞, +∞)

Range

(-∞, +∞)

Key Properties

1

m = slope (rise over run)

2

b = y-intercept (where line crosses y-axis)

3

Easy to graph: start at b, move by slope

4

Most common form in algebra

Key Insight

When you see y = mx + b, you can instantly read the slope and where the line crosses the y-axis.

Visualize Slope-Intercept

Interact with the graph and explore this curve in the analytic geometry visualizer.

Open Visualizer