Slope Between Two Points
Using Slope
Interpreting Slope
Proportional Relationships
Random Slope
100
Find the slope
(4 , 2) (7 , 6)
m = 4/3
100
Given y = 9x and y = 5x, which one would have a steeper line when graphed? How do you know?
y = 9x because the slope is 9 and the other is only 5.
100
The distance Mikey walks his dog is given by the equation y = 45x, where y is the total distance (feet) and x is time (minutes). Interpret the slope.
The slope means that Mikey walks 45 feet per minute.
100
A proportional graph has two characteristics. What are they?
1. A straight line
2. Passes through the origin
100
Find the slope:
m= -1
200
Find the slope
(1 , 2) (5 , -5)
m = -7/4
200
What is the slope of the line given the table below?
m = -3/1 or 3/-1 or -3
200
The XP earned while catching flags in a video game is represented by the equation y = 0.35x, where y is the total XP earned and x is the number of flags caught. Interpret the slope in sentence form.
The slope is 0.35 which means you earn 0.35 XP per flag caught.
200
Using inspection, which line has a greater slope? How do you know?
The red or four-person ski lift since this line is steeper than the other.
200
Interpret this slope:
The cost per pound of banana is $1.25
300
Find the slope
(-3 , 4) (5 , 4)
m = 0
300
How do you know if two lines are parallel without a graph?
Parallel lines have the same slope.
300
Which cyclist burns more calories?
Cyclist 2 burns more calories.
300
Does the graph show a proportional relationship?
No, although it is linear, it does not pass through the origin.
300
Find the slope:
m = -1/2
400
Find the slope
(-3 , -7) (4 , -2)
m = 5/7
400
What is the missing value in the table?
8
400
The slope is -2/3 which means the distance between the comet and the probe decreases 2 miles every 3 minutes.
400
Does the graph below represent a proportional relationship?
Yes, it is a straight line that passes through the origin.
400
Find the number of hay bales per mule.
0.5 hay bales per mule.
500
Find the slope
(-2 , -4) (-7 , -5)
m = -1/-5 or 1/5
500
Find the missing value in the table.
The missing value is 60 and the equation is y = 12x
500
Find and write an interpretation sentence for the slope of the line.
The slope is 1/4 (0.25) and it costs $0.25 per ounce to mail a package.
500
Given the equation y = 2x, tell me two ordered pairs that would lie on that line.
possible answers: (-2,-4) (-1,-2) (0,0) (1,2) (2,4) (3,6)
500
Find the slope:
m= -11