Effects of Slope
- Author:
- aridleh
This applet accesses your knowledge of slope, point-slope form, y-intercept form, and interpreting graphs. I ask you to look at the graph and how slope affects the graph.
1. Using the points A and B of Linea, find the slope of Linea. (Use the check box to check your answer)
2. Using the points C and D of Line_b, find the slope of Line_b. (Use the check box to check your answer)
3. Using the points given and the slope found, write an equation for Linea. (Use the check box to check your answer)
4. Using the points given and the slope found, write an equation for Line_b. (Use the check box to check your answer)
5. Using the sliders, change the value of a for Linea, how does changing the value of a affect the graph? What does this say about the slope of Linea? (Hint: a is equal to what?)
6. Using the sliders again, change the value of b for line_b, how does changing the value of b affect the graph? What does this say about the slope of line_b? (Hint: b is equal to what?)
7. If the values of a and b are the same, what is the relationship of line_a and line_b?
8. Do you think if we use two different points on Linea or Line_b to find the slope, we will get a different result? Explain your reasoning.
9. Using two different points on Linea, find the slope and an equation for Linea. (Use the check box to check your answer)
10. Using two different points on Line_b, find the slope and an equation for Line_b. (Use the check box to check your answer)