What are the four types of slope?
Positive (increasing), Negative (decreasing), Zero, Undefined
The x-values are what?
The y-values are what?
Domain
Range
Write a linear equation that has a slope of 5 and a y-intercept of 2.
y = 5x + 2
Jenny runs in her neighborhood daily. If she burned 1,050 calories, how many miles did she run?
7 miles
Scatter Plots have three types of correlations. What are they?
Positive, Negative, and No Correlation.
What variable in our equation for linear functions represents the slope?
m
What is the domain and range?
Domain: [0, 3)
Range: [-2, 1)
Rewrite the equation y = 2x - 6 reflected across the x-axis.
y = -2x + 6
What does the rate of change represent?
Price per game.
How do we find the line of best fit in desmos?
Create a table with points then type in y1 ~ mx1 + b.
What variable in our equation for linear functions represents the y-intercept?
b
Describe the end behavior of the graph.
As x approaches -∞, y approaches what?
As x approaches +∞, y approaches what?
As x approaches -∞, y approaches +∞.
As x approaches +∞, y approaches -∞
horizontally stretched by 1/4 and moved up 4
Mike and Joe are going on a road trip. They want to know how long it is going to take them to drive 2,000 miles.
Hint: find your slope then set your equation equal to something.
m = (1000 - 300)/14 - 4
m = 700/10
m = 70
y = 70x + 0
2,000 = 70x
2,000/70 = x
28.57 = x
Approximately 28.57 hours.
Name the correlations of the following graphs.
A. B. C.
A. Negative Correlation
B. No Correlation
C. Positive Correlation
A collection of points that relate two (2) variables to show a correlation.
Scatter Plot
What is the domain and range?
Domain: [0, ∞)
Range: (-∞, 1]
A linear function's parent function equation is y = x. Write an equation that compresses the function horizontally by 4 and transforms it up 3.
y = 4x + 3
Haley is going to a farmers' market. There is an entrance fee of $4.00 and a charge of $6.00 per pound of fruits and vegetables she buys. If Haley brought $40.00, how many pounds of fruit and vegetables can she buy?
y = 6x + 4
40 = 6x + 4
36 = 6x
6 = x
She can buy 6 pounds of fruits and vegetables.
Use Desmos to find the line of best fit with
x-values: 1, 3, 7, 9, 16, 21
y-values: 4, 15, 7, 8, 23, 29
y = 1.12x + 3.72
A line that best shows a correlation of points that relate two (2) variables.
Line of Best Fit
DOUBLE JEOPARDY
What is the domain, range, and end behavior?
Domain: all real numbers
Range: all real numbers
As x approaches -∞, y approaches -∞.
As x approaches +∞, y approaches +∞
Write an equation that makes the equation y = -x + 2 reflect across the y-axis and stretches vertically by 2.
y = 2x + 4
Lea and Hannah own a bookstore. They record in the table the number of books remaining in the store as customers come in to purchase them. Create an equation for them that describes the relationship between the number of customers and the total books left.
m = (640 - 512)/(16 - 32)
m = 128/-16
m = -8
640 = -8(16) + b
640 = -128 + b
768 = b
y = -8x + 768
DOUBLE JEOPARDY
On the back of your whiteboards, plot the following points and draw the line of best fit.
(0, 1)
(2, 1)
(2, 3)
(4, 3)
(4, 5)
(6, 3)
(7, 5)
(9, 4)