# Investigating Slope and y-Intercept

- Author:
- Guillermo Bautista

- Topic:
- 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 =**? What happens to the graph if*m*x +*b***,***m*> 0**, and***m*< 0**? 2.) How does the value of***m*= 0*affect the graph? What happens to the graph if***b****,***b*> 0**, and***b*< 0**? 3.) Without using GeoGebra, explain and justify what should be the values of***b*= 0*and***m****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.***b***> 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.***m*