Slope and Rate of Change

learning_notes

Last updated: 8/16/2025

Key Concepts:

  • Calculating Slope – Slope is found using the formula (m = \frac{y_2 - y_1}{x_2 - x_1}).
  • Interpreting Slope in Context – Slope represents how one variable changes with respect to another (e.g., speed, price changes, growth trends).
  • Positive vs. Negative Slope – A positive slope indicates an increasing trend, while a negative slope represents a decreasing trend.
  • Finding the Closest Slope – Approximate the slope from given data points.

Skills Covered:

  • Calculate the slope of a line passing through two points.
  • Estimate the closest slope of a given line of best fit.
  • Find the average rate of change of an object’s momentum from a graph.

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