Use the constant controller to examine the effects of changing the values of m and b in the point-slope equation of a linear function.
Investigate m in the equation y = mx + b.
1. What happens to the graph as the value of m increases?
2. What happens to the graph if m is changed from a positive value to a negative value?
Investigate b in the equation y = mx + b.
3. What is the effect on the line if the value of b is increased?
4. What happens to the line if the value of b is decreased?