Graphing Gr.9

Question 1

Which axis is the Dependent Variable plotted on?

Answer 1

The y axis.

Question 2

Which axis is the Independent Variable plotted on?

Answer 2

The x axis.

Question 3

Distance / Time or Time / Distance?

Answer 3

Distance / Time.

Question 4

What is the Rate of Change?

Answer 4

The rate of change describes how much a quantity changes relative to another quantity. Examples: 40 m/s, 5 gal/min, or 140 ft/min

Question 5

Rate of change formula when initial value is 0

Answer 5

Dependent / Independent

Question 6

Rate of change formula when initial value is not 0

Answer 6

Diff y divided by Diff x

Question 7

How do we know if a graph is linear?

Answer 7

If the first differences are the same, the relationship is linear. Example: If the x axis always increases by 5 and the y axis always increases by 3

Question 8

How do we know if a graph is non-linear?

Answer 8

If the first differences are not the same, the relationship is non-linear. Example: If the x axis increases like this: 0, 1, 2, 4, 8, 16, and if the y axis increases like this: 0, 3, 8, 19, 27.

Question 9

Is y = 2x^2 linear?

Answer 9

No

Question 10

Is y = 5x + 3 linear?

Answer 10

Yes!