Slope on Graphs
Slope and Rate of Change
Vocabulary
Linear Equations
Rate of Change/Unit Rate
100
Which line has a positive slope?
3
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
Which line has a negative slope?
6
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 slope of the graph:
1/4
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
Find the slope of the graph.
-2/3
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
What is the slope of this line?
Undefined
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
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
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)