Show:
Writing an equation in slope-intercept form
Writing Linear Equations from Situations and Graphs
Writing Linear Equations from a Table
Linear Relationships
Linear vs. Nonlinear
100
The number of customers
Jarred is re-formatting computers. The cost of the program used for the re-formatting is $30. Jarred charges each customer $60 to re-format their computer. What is the input variable, x, for this situation?
100
y = 30x
A dragonfly can beat its wings 30 times per second. Write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the dragonfly beats its wings.
100
y = 2.5x + 15
X 0 2 4 6 Y 15 20 25 30
100
b = -7
Find the y-intercept. (-1, -5). y = -2x + b
100
Linear
x 0 1 3 4 y 10 13 19 22
200
Jarred's total income from re-formatting computers.
Jarred is re-formatting computers. The cost of the program used for the re-formatting is $30. Jarred charges each customer $60 to re-format their computer. What is the output variable, y, for this situation?
200
y = 4x + 50
A balloon is released from the top of a platform that is 50 meters tall. The balloon rises at the rate of 4 meters per second. Write an equation in slope-intercept form that tells the height of the balloon above the ground after a given number of seconds.
200
y = 4x + 1
x 0 1 3 4 y 1 5 13 17
200
y = -2/3x + 7
Write an equation in slope-intercept form with the slope being -2/3 and the y-intercept being 7.
200
Nonlinear
x 0 1 2 6 y 5 6 9 100
300
-30
Jarred is re-formatting computers. The cost of the program used for the re-formatting is $30. Jarred charges each customer $60 to re-format their computer. Jarred does not receive any customers in November. What is his initial value?
300
y = 20x + 12
The cost of renting a sailboat at a lake is $20 per hour plus $12 for lifejackets. Write an equation in slope-intercept form that can be used to calculate the total amount you would pay for using this sailboat.
300
b = 3
Identify the y-intercept for the relationship. x -2 2 5 9 y 4 2 1/2 -1(1/2)
300
y = 9x - 1/2
Write an equation in slope-intercept form with the slope being 9 and the y-intercept being -1/2.
300
Not linear
The height of a person and the person's age.
400
0
Jarred is re-formatting computers. The cost of the program used for the re-formatting is $30. Jarred charges each customer $60 to re-format their computer. Jarred does not receive any customers in November. How many customers did Jarred have in November?
400
I will walk around and check :)
Graph y = 2x + 3
400
y = -1/2x + 3
x -2 2 5 9 y 4 2 1/2 -1(1/2)
400
Walking around to check your answers :)
Create a graph of the linear equation y = 5x + 1
400
Linear
Would the graph y = 9x - 12 be linear or nonlinear?
500
y = 60x - 30
Jarred is re-formatting computers. The cost of the program used for the re-formatting is $30. Jarred charges each customer $60 to re-format their computer. What does this situation represent in slope-intercept form (hint: y=mx+b)?
500
The slope represents how many times an item rises for each x value. The y-intercept represents the location that the graph begins prior to each x value taking place.
Explain the meaning of the slope and y-intercept (initial value) for y = 2x + 3.
500
Use two data points from the table to find the slope, and then locate the point on the table where x is 0 to identify the y-intercept.
Describe how you can use the information in a table showing a linear relationship to find the slope and y-intercept for the equation.
500
y = 3x - 5
A line with a slope of 3 passes through the point (0, -5). What is the equation of this line?
500
Sample Answer: Graph the data points. If the points lie along a straight line, the data is linear.
How can you tell if a set of bivariate data shows a linear relationship.