Slope on Graphs
Slope
Vocabulary
Rate of Change
Random
200
Which line has a positive slope?
3
200
Find the slope of the line that passes through (5, 4) and (-4, 3).
1/9
200
The steepness of a line calculated by the rise over the run.
slope or rate of change
200
The table shows the number of hot dogs a contestant ate during a hot dog eating contest. Find the rate of change, and explain what it means in the context of the situation.
11/2 or 5.5; it represents the amount of hot dogs eaten per minute.
200
If the first difference from a table of values is the same, the rate of change is ____________.
constant
400
Which line has a negative slope?
6
400
Find the slope of the line that passes through (10, 8) and (9, 13).
-5
or
-5/1
400
Trends occur in which 3 major ways?
1. increasing
2. decreasing
3. constant
400
The table below shows the cost of a certain number of pounds of apples.
What is the unit rate of the cost of apples?
$1.38 per pound of apples
400
If the rate of change is constant, it creates a ____________ line.
straight
600
Explain whether the two triangles below could lie on the same line.
No, because, the rise and run of the two fractions don't simplify to the same fraction.
600
Calculate the average rate of change between the following pair of points.
P1 (250, 350)
P2 (450, 700)
-5
or
-5/1
600
A graph is a visual representation of the relationship between _________ quantities.
two
600
Elyse has $18 on a gift card that she can use to rent movies online. The graph shows the amount of money remaining on her gift card based on the number of movies she rents. Find the unit rate of the graph, and describe what it means in the context of the situation.
The unit rate is -3. It means that each movie she rents costs her $3, so her gift card balance will decrease 3 dollars.
600
If the rate of change is increasing, it creates a __________ line.
positive
800
Find the slope of the graph:
1/4
800
Find the rate of change from the table.
15
800
When graphing, the horizontal axis is used for the _____________ variable.
independent
800
Kevin started a ping pong club at his school, and the table shows the number of participants in the club over several years. Find the rate of change of the table
8 students per year
800
The following are two rates of change. Which is steeper?
a) 2.25 m/s
b) 0.225 m/s
A 2.25 m/s
1000
What is the slope of this line?
zero
1000
Find the slope of the line passing through (4, 10) and (9, 10). Describe the trend of this line.
zero is the slope. The trend is constant.
1000
When graphing, the vertical axis is used for the _____________ variable.
dependent
1000
Which company charges the greatest rate per window?
Company B
1000
Identify and draw the 4 types of slopes
Positive
Negative
Zero
Undefined