Slope and y-intercept

Move sliders m and b below to investigate the graph of y = mx + b.

Questions

  1. How does the value of m and b affect the graph of y = mx + b?
  2. .Without using GeoGebra, explain and justify what should be the values of m and b so that the graph passes through
    • Quadrants I, II, and III
    • Quadrants I, II, and IV
    • Quadrants I and III only
    • Quadrants III and IV only
  3. Explain and justify why
    • m > 0 when the graph slants to the right.
    • m < 0 when the graph slants to the left.
    • m = 0 when the graph is horizontal.

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