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Slope-Intercept Form Explorer

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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

  1. Adjust Slope (m): Move the left slider to change the steepness and direction
  2. Adjust Y-intercept (b): Move the right slider to shift the line up or down
  3. 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>