Gradient-Intercept Form Exploration

Topic:
Equations
Objective: Determine the role of the constants m and c in gradient-intercept form,
1) Using the top slider, change the value of m. How does this affect the graph of the equation? What specifically does the number m tell you about the graph? 2) Using the bottom slider, change the value of c. How does this affect the graph of the equation? What specifically does the number c tell you about the graph? 3) Based on the equation, why do m and c play the roles you have described?