# Slope

## Exploring Slope

1. Graph y = 3x – 1 using an xy chart.

(
x
y=
y
(x, y)
)

2. Is the line increasing (positive) or decreasing(negative)? So we say this slope is positive negative (circle one)

4. Calculate the slope of the line by choosing two points on the line found on the graph.

5. Using the two points from number 4, calculate the slope using the formula. Show your work.

6. Look at the equation again. Can you draw any conclusions about slope and linear equations?

7. Using the knowledge you learned in #6 what do you think the slope to y = -1x + 2 is?

8. Graph y = -1x + 2 using an xy chart.

(
x
y=
y
(x, y)
)

9. Is the line increasing (positive) or decreasing(negative)? So we say this slope is positive negative (circle one)

10. Calculate the slope of the line by choosing two points on the line found on the graph.

11. What do you think the slope will be looking at the equation?

12. Using the two points from number 10, calculate the slope using the formula. Show your work.

13. Was your assumption in #11 correct? So what do you think a good slope rule for linear lines would be?