Interpreting the Unit Rate as Slope

3.2 - Rate of Change and Slope - Review

​Finding Rate of Change from a Table

Multiple Choice

Find the rate of change

• 1

• 2

• 11

• 6

Multiple Choice

Find the rate of change.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

SLOPE

​There are 4 types of SLOPE

Multiple Choice

What is the slope in the picture?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What is the slope in the picture?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What type of slope is represented in the image?

• Positive Slope

• Negative Slope

• Zero Slope

• Undefined Slope

Multiple Choice

What type of slope is represented in the image?

• Positive Slope

• Negative Slope

• Zero Slope

• Undefined Slope

Interpreting the unit rate as slope

Slope and Constant of Proportionality

When you graph a proportional relationship, the constant of proportionality is the same as the slope. 

Slope and Lines

• The slope describes how steep the line between the two points is

• We can also use it to find points anywhere else on the line

Multiple Choice

What does "m" stand for in the slope formula?

• y axis

• slope

• y coordinate

• x coordinate

Multiple Choice

If you're given the points:

(4, 10) (8, 9)

What are your y₁ and y₂?

• y₁= 10; y₂= 9

• y₁= 9; y₂= 10

• y₁= 4; y₂= 8

Multiple Choice

What variable is used to represent slope?

• b

• x

• m

• y

Multiple Choice

Find the slope of the line.

• 1/4

• -1/4

• -4

• 4

Multiple Choice

Find the slope.

• 0

• 4

• -4

• Undefined

Multiple Choice

Find the slope

• 2/3

• -3/2

• 3/2

• -2/3

Multiple Choice

What is the slope of this graph?

• 3/1

• 1/3

• -3/1

• -1/3

Multiple Choice

What is the slope between the two points?

• 2

• $$\frac{2}{5}$$  

• 5

• $$\frac{5}{2}$$  

Multiple Choice

What is the slope between the two points?

• $$\frac{1}{2}$$

• 1

• 2

• 3

Multiple Choice

Using the slope formula, find the slope between (-3,2) and (5,5).

• 3

• 8

• $$\frac{8}{3}$$

• $$\frac{3}{8}$$

Multiple Choice

Using the slope formula, find the slope between (-3,-4) and (-2,-8).

• -4

• 0

• $$-\frac{1}{4}$$  

• 4

Multiple Choice

Using the slope formula, find the slope between (3,6) and (4,8).

• $$-\frac{1}{2}$$  

• 2

• $$\frac{1}{2}$$  

• -2

This is the graph that is proportional.

Because the line is linear (straight line) and passes through the origin (0,0).

Multiple Choice

• Proportional

• Non-proportional

Multiple Choice

Is the graph proportional or non proportional?

• proportional
• non proportional

Proportional

1) The same number multiplied by every x will give you the y value

2) The change of y over the change of x will be the same throughout the table

Multiple Choice

Is this table proportional?