The graph of y = mx + b is shown below. As you change the values of m and b, the graph will change as well. Experiment with different values of m and b, and then anwer the questions below.

1. Move the slider so that m = 2 and b = 0. What is the equation of the resulting line?
2. Describe the position of this line on the graph.
3. Slowly move the slider to increase the value of m. what happens to the graph as m increases?
4. Slowly move the slider so m = 0. What is the graph like when m = 0?
5. Move the m slider to the left of zero (into the negatives). What happens to the graph when m is negative?
What happens to the graph as m moves more and more to the left (farther into the negative values)?
What appears to be true about the line when m is
a. postive?
b. negative?
c. zero?
d. In one word, m describes the _____________________ of the line.
6. Move the slider so that m = 2. Move the b slider so b = 1. Graph the point (0,1). What do you notice about this point?
7. Slowly move the b slider to the right (toward greater values of b). What happens to the graph as b increases?
8. Move move the b slider so b = 0. Describe the graph when b = 0 and write the equation for this line.
9. Slice the b slider to the left of zero (into the negatives). What happens to the graph when b is negative? What happens to the graph as b moves farther to the left? What appears to be true about the line when b is
a. positive?
b. negative?
c. zero?
10. Refer to the graphs a. b. c. and d. shown in Edline. (See handout). Move both sliders until you have a graph that resembles the line pictured. Give the values of m and b. Write the equation for the line that is shown by using your slider values.