Click and drag the two blue points to see the equation of the line y = mx + b and the slope m. Explore the following questions.
1. Can you make the b in the equation equal 0? How?
2. What do you have to do to make m (slope) very large?
3. Can you make lines with the same slope but different b values? What do you have to do to make these lines? How would you describe them?
4. Can you make lines with the same b value but different slopes? How would you describe these lines?
5. Based on this exploration, explain how you could find the equation of a line given two points and the graph. Explain like you would explain to a friend,