Slope Vocabulary
Types of Slope
Slope from Two-Points
Slope from a Table of Values
Slope Word Problems
100
What is one definition of slope?
What is.......
Rise over run
Change in y over the change in x
Rate of change
Constant of proportionality
100
What type of slope rises from left to right?
Positive Slope
100
On a coordinate grid, a line goes through (0, 0) and (2, 2). What is the slope?
m = 2/2 = 1/1 or 1
100
What is the slope shown on the table of values below?
m = 8/2 = 4/1 or 4
100
If its height was 3 inches at week 1 and 7 inches at week 3, what is the rate of change (slope) in inches per week?
2 inches per week
200
What letter represent slope in slope-intercept form?
m
200
What type of slope creates a horizontal line?
Zero Slope
200
A graphed line passes through (–1, 2) and (3, 5). Find its slope from the graph.
m = 3/4
200
What is the slope on the table of values shown below?
m = 4/2 = 2/1 or 2
200
A taxi charges a $4 flat fee plus $2.50 per mile. What is cost of the taxi ride after 4 miles?
$14
y=2.5x+4
y=2.5(4)+4
y=10+4
300
What is the definition of negative slope?
A line that falls from left to right (or decreases).
300
If a line goes up 6 and to the right 7, what type of slope does it have?
Positive
300
A line on a graph passes exactly through grid points (–2, 3) and (4, –1). Calculate the slope.
m= -4/6 = -2/3
300
m = 5/9
300
A cyclist travels so that after 2 hours they are 24 miles from start, and after 4 hours they are 36 miles from start. What is the cyclist's average speed (slope)?
m = 12/2 = 6/1 or 6
The cyclist is traveling 6 miles per hour.
400
What direction(s) and how many units would you move for a slope of -3/5?
Down 3 and to the right 5
or
Up 3 and to the left 5
400
If a line goes down 4 and to the right 3, what kind of slope does it have?
Negative Slope
400
A line on a graph passes exactly through grid points (–5, 7) and (-9, –1). Calculate the slope.
m = -8/-4 = 2/1 or 2
400
What is the slope shown on the table of values below?
m = -3/2
400
A student saves money so that after 0 months they have $10, after 2 months they have $22. How much does the student save each month? How much would the student have after 5 months?
The student saves $6 a month and would have $40 after 5 months.
m=12/2 = 6/1 or 6
y=6x+10
y=6(5)+10
y=30+10
500
What makes an equation proportional?
The line crosses through the origin.
500
If a line is vertical, what type of slope does it have?
Undefined Slope
500
A graph shows a line passing through points where x increases by 3 while y decreases by 6. What is the slope?
m = -6/3 = -2/1 or -2
500
What is the slope shown on the table of values below in its most reduced form?
m = 5/3
500
A water tank empties so the volume V (in liters) decreases linearly from 120 L at time t = 0 minutes to 60 L at t = 30 minutes. Find the slope (rate of change).
m = -60/30 = -2/1 or -2
2 liters of water are emptied every minute.