Investigating Slope and y-Intercept
- Guillermo Bautista
- Function Graph
Shown below is the graph of y = mx + b. Investigate the graph by moving sliders m and b and then answers the questions below.
Questions for Discussion
1.) How does the value of m affect the graph of y =mx + b? What happens to the graph if m > 0, m < 0, and m = 0? 2.) How does the value of b affect the graph? What happens to the graph if b > 0, b < 0, and b = 0? 3.) Without using GeoGebra, explain and justify what should be the values of m and b so that the graph passes through a. Quadrants I, II, and III b. Quadrants I, II, and IV c. Quadrants I and III only d. Quadrants III and IV only 4. Explain and justify why a. m > 0 when the graph slants to the right. b. m < 0 when the graph slants to the left. c. m = 0 when the graph is horizontal.