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
Fine the slope of the line passing through (-20,2) and (-20,1).
Undefined
300
Rate of change
and
(Rise)/(Run)
What are other names for "slope"?
300
What two piece of information do we need to know to write a linear equation?
Slope and Y-Intercept
300
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.
400
What is the slope of this line?
Undefined
400
Calculate the slope of the line passing through points (7,13) and (11,13).
Zero
400
The slope-intercept form of a linear equation.
What is, y=mx+b?
400
What is the equation of the following line:
y=1/3x+2
400
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
500
Find the slope of the graph.
-2/3
500
Find the rate of change from the table.
15
500
The point where a graph crosses the y-axis.
What is the y-intercept?
500
Write the equation of the line graphed below:
y=-1/4x+2
500
Which company charges the greatest rate per window?
Company B