Slope-Intercept Form Explorer
About This MicroSim
This interactive tool lets you explore the slope-intercept form y = mx + b by adjusting sliders for slope (m) and y-intercept (b). Watch the line change in real-time as you modify the equation parameters.
How to Use
- Adjust Slope (m): Move the left slider to change the steepness and direction
- Adjust Y-intercept (b): Move the right slider to shift the line up or down
- Observe Changes: Watch how the line and equation update instantly
Controls
| Slider | Range | What It Controls |
|---|---|---|
| Slope (m) | -3 to 3 | Steepness and direction of the line |
| Y-intercept (b) | -5 to 5 | Where the line crosses the y-axis |
Line Colors
| Color | Slope Type |
|---|---|
| Red | Positive slope (rises left to right) |
| Purple | Negative slope (falls left to right) |
| Green | Zero slope (horizontal line) |
Learning Objectives
- Apply slope-intercept form to graph lines
- Analyze how changing m and b affects the line
- Evaluate the relationship between equation parameters and graph
Bloom's Taxonomy Level
Applying, Analyzing, and Evaluating - Interactive exploration.
Iframe Embed Code
<iframe src="https://dmccreary.github.io/geometry-course/sims/slope-intercept-explorer/main.html"
height="702px"
width="100%"
scrolling="no"></iframe>