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Mentally find values for
| vertical change | horizontal change | slope | |
|---|---|---|---|
| A | |||
| B | |||
| C |
Elena borrowed some money from her brother. She pays him back by giving him the same amount every week. The graph shows how much she owes after each week.
Answer and explain your reasoning for each question.
Your teacher will give you either a design or a blank graph. Do not show your card to your partner.
If your teacher gives you the design:
If your teacher gives you the blank graph:
When finished, place the drawing next to the card with the design so that you and your partner can both see them. How is the drawing the same as the design? How is it different? Discuss any miscommunication that might have caused the drawing to look different from the design.
Pause here so your teacher can review your work. When your teacher gives you a new set of cards, switch roles for the second problem.
One way to calculate the slope of a line is by drawing a slope triangle. For example, using this slope triangle, the slope of the line is
Another way to calculate the slope of this line uses just the points
Notice that in each of the calculations, the value from point