Shown below is the graph of y = mx + b. Investigate the graph by moving sliders m and b and then answers the questions below.

1.) How does the value of [i]m[/i] affect the graph of [b]y =[i]m[/i]x + [i]b[/i][/b]? What happens to the graph if[b] [i]m[/i] > 0[/b], [b][i]m[/i] < 0[/b], and [b][i]m[/i] = 0[/b]?[br][br]2.) How does the value of [i][b]b[/b][/i] affect the graph? What happens to the graph if [b][i]b[/i] > 0[/b], [b][i]b[/i] < 0[/b], and [b][i]b[/i] = 0[/b]?[br][br]3.) Without using GeoGebra, explain and justify what should be the values of [i][b]m[/b][/i] and [b][i]b[/i][/b] so that the graph passes through [br][br]a. Quadrants I, II, and III[br]b. Quadrants I, II, and IV[br]c. Quadrants I and III only[br]d. Quadrants III and IV only[br][br]4. Explain and justify why [br][br]a. [b][i]m[/i][/b] > 0 when the graph slants to the right.[br]b. [b][i]m[/i][/b] < 0 when the graph slants to the left.[br]c. [b][i]m[/i][/b] = 0 when the graph is horizontal.[br]