4 Representations #4: Rate of Change From a Graph

Finding the rate of change using the graph of a linear equation.

4 Representations of Linear Equations #4: Rate of Change in a Graph Background Completion of 4 Representations #1- #3. Inquiry Steps Click on button 1. You will see Δy and Δx change to 0, and you will see a line appear in the graph window. Use the rate of change of the line to help you find a data point for row 3 that will display a point on the line. Continue the pattern for a data point in row 4. Question 4-1: Write one or two sentences explaining how you found the rate of change by looking at the graph of the line. Using the rate of change you already found, adjust the sliders to match the spreadsheet and line. The equation will appear below when it matches. Question 4-2 through 4-11: Write the values for the three data point, Δy and Δx, and the equation for each of the ten situations. Example: 1. (0, 0) (3, 4) (6, 8) Δy=4 Δx=3, y = 4/3x Reflection Question 4-12: Write a paragraph describing in your own words what you have learned through this exercise. Question 4-13: What would you change about this exercise to make it better? Question 4-14: I found this: 1-Very interesting, 2-Interesting, 3-OK, 4-Boring, 5-Very Boring Question 4-15: I learned: 1-A lot, 2-Something, 3-Not much, 4-More confused than before.