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.