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Slope-Intercept Form Visualization

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About This Diagram

This two-panel diagram shows how slope (m) and y-intercept (b) determine a line in slope-intercept form. The left panel shows a positive slope example, while the right panel demonstrates a negative slope.

Examples Shown

Panel Equation Slope (m) Y-intercept (b) Direction
Left y = 2x + 1 2 1 Rises left to right
Right y = -x + 4 -1 4 Falls left to right

Key Concepts

  • Slope (m): Determines the steepness and direction of the line
  • Y-intercept (b): Where the line crosses the y-axis at point (0, b)
  • Rise over Run: The slope triangle shows how to move from one point to another

How to Use

  1. Start at the y-intercept (green highlighted point)
  2. Use the slope to find additional points: move "run" right and "rise" up/down
  3. Connect the points to graph the line

Learning Objectives

  • Understand the meaning of m and b in y = mx + b
  • Apply slope-intercept form to graph lines

Bloom's Taxonomy Level

Understanding and Applying - Equation interpretation and graphing.

Iframe Embed Code

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