Slope and Rate of Change
Vocabulary
Linear Equations
Rate of Change/Unit Rate
100
Find the slope of the line that passes through (5, 4) and (-4, 3).
1/9
100
The steepness of a line calculated by the rise over the run.
What is slope?
100
What is the slope of the line, y=3x
3
100
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.
5.5; it represents the amount of hot dogs eaten per minute.
200
Find the slope of the line that passes through (10, 8) and (9, 13).
-5
or
-5/1
200
The slope of a vertical line.
What is undefined?
200
What is the slope of the line:
y=3/4x-7
3/4
200
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
300
Find the rate of change from the table.
15
300
What is the constant of proportionality?
The number you multiply x by to get y
300
If (5,8) is a coordinate on a line that undefined slope, what is another point on the line?
(5,y)
300
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
400
Calculate the slope of the line passing through points (7,13) and (11,13).
Zero
400
If a line has no slope, what does it look like?
Horizontal line
400
If (3,4) is a coordinate on a line that has a slope of 2, what is another point on the line?
(4,6)
(5,8)
(2,2)
(0,1)
400
Andrew got hired at Grub Burger and earns $8.25 an hour.
If Andrew works 9 hours, how much money will he make?
$74.25
500
Fine the slope of the line passing through (-20,2) and (-20,1).
Undefined
500
What is true about a proportional graph?
Constant rate of change (slope)/straight line and it goes through the origin
500
Write the equation of the line graphed below:
y= 2/3x
500
Which has the greater slope? Table or Graph?
Table
Table is 3, Graph is 1/3
600
14. A line has a slope of 7. One of the points on the line is (3, 5). Which of the following could be another point on the line?
A. (-1, -24)
B. (-2, -30)
C. (6, 24)
D. (10, 55)
B. (-2,-30)
600
What are other names for "slope"?
Rate of change , Change in y/change in x
and
(Rise)/(Run)
600
What is the equation of the following line:
y=-x
600
Interpret this graph. Include the slope and the meaning of point (0,30)
This person started with $30 in their account (0,30) and saves $5 per week (slope)