Change the slope by manipulating the slider.
1. Based on your previous knowledge or intuition, what do you think slope is?
2. What are the x and y intercepts?
3. How does point A, B, and C change when you manipulate the slider?
4. Drag point C on the line y = ax – 1. What happens to the x and y coordinates of point C? Does the line change when you drag point C? Do you think the slope changes when you move point C?
5. Drag slider “a” to a positive value. Reading the graph from left to right, what does line y = ax – 1 look like now?
6. Drag the slider to a value of 0. What does the line y = ax – 1 look like now?
7. Now change the slider to a negative value. What does the line y = ax – 1 look like?
8. How is slider “a” related to the equation y = ax – 1 ?
9. How are the points related to the slope?
10. Calculate the slope by using the x and y coordinates (the ordered pair solutions) of two points available on the line. Calculate the slope again by using two different points on the line. (The formula for slope is provided on the worksheet) Do your results match with value “a” in the slider?
11. After completing this worksheet, what do you think slope is?