Constant Rate of Change and Slope

Determine whether the relationship between the two quantities described in the table is linear. If so, find the constant rate of change.

• Not a linear relationship

• The constant rate of change is 8 magazines per student.

• The constant rate of change is 18 magazines per student.

• The constant rate of change is 2 magazines per student

Determine whether a proportional relationship exists between the two quantities shown in the graph. [hint: a relationship is proportional if it passes through the point of origin, (0,0)]

• I have no idea.

• No, it is not proportional

• Yes, it is proportional

• I just want cheesecake.

Determine whether there is a linear relationship between the two quantities presented in the table. If so, what is the constant rate of change?

• The constant rate of change is 4.3 calories per minute

• The constant rate of change is 3.4 calories per minute.

• There is no linear relationship.

• Just give me an A already!

Are "slope" and "constant rate of change" the same?

• Yes

• No

• Maybe

• Who cares?

Slope =

• Rise over Run

• Change in y over change in x

• (y₂ - y₁) / (x₂ - x₁)

• All are correct

Find the slope of the line that passes through the pair of points: Point 1 (1,3) and Point 2 (4,7)

• 3/4

• 2

• -3/4

• 4/3

Find the slope of the line that passes through the pair of points: Point 1 (3,5) and Point 2 (2,6)

• 1

• -1

• 11/5

• 5/11

Find the slope of the line presented in the graph.

• 1/2

• -1/2

• -1/4

• 1/4

Based on the graph, which line has the steepest (aka largest) slope?

• Company A

• Company B

• Company C

Find the slope of the line in the graph

• 2/5

• -2/5

• 5/2

• -5/2