Calculating Slope/
y-intercept
y-intercept
Writing an equation from multiple representations
Interpreting slope/ y-intercept
Scatter Plots
Dimensional Analysis
100
Given a line has a slope of ¼ and a y-intercept of -12. Write the equation for the line
y=1/4x-12
100
Write the equation of the line from the graph below.
y=1/2x+2
100
What are three other names for “slope” and three other names for “y-intercept”
Slope
Change in y over change in x.
Rate of change
“M” value
Growth rate
Y-intercept
Initial value
Starting value
Starting y-value
Vertical intercept
100
Which graph best shows a positive correlation between the number of hours studied and the test scores?
Option A
100
How many dozen eggs are in 15,652 eggs?
1304.33 dozens
200
The slope of a line is 2/3 and it passes through the point (12,16). What is the y-intercept?
y=2/3x+8
200
Given the points (5,2) and (3,-1). Write the equation of the line.
y=1.5x-5.5
200
The function below shows the cost of a hamburger with different numbers of toppings (t).
f(t)=1.90+1.40t
What is the y-intercept, and what does it mean in context?
There is an initial price of $1.90 for a burger with 0 toppings.
200
Mr. Thomas wanted to know if the amount of class time that he gave students to study affected their test scores. The scatter plot below shows the results.
What kind of relationship between class study time and test scores is shown on the scatter plot?
No correlation
Positive correlation
Negative correlation
Positive then negative correlation
Option B: Positive Correlation
200
The men’s world record long jump is 29 feet 4.5 inches. How many meters is this?
(1 ft=12 inches)(1in=2.54 cm)(1m=100cm)
8.96 meters
300
A line goes through the point (9,3) and (-4,5). Write the equation for the line.
y=-0.153846x+4.38462
300
Given the list of values below. Write the equation of the line. (create a table!)
x: -2, -1,0,1
y: 0,2,4,6
y=2x+4
300
The function below shows the cost of a hamburger with different numbers of toppings (t).
f(t)=1.90+1.40t
What is the slope, and what does it mean in context?
The slope is $1.40. It costs $1.40 per topping added to the burger.
300
Use the graph below to answer the following question.
Which equation could describe the line of best fit for the graph above?
a. y=5x+236
b. y=-5x+236
c. y=15x+236
d. y=-15x+236
Option A
300
The world's tallest person weighs 482 lb, convert their weight to grams.
(1 pound = 453.592 grams)
218632 grams
400
A line intersects the y-axis at -12. It then intersects the x-axis at (24,0). What is the equation for this line?
y=1/2x-12
400
Your cell phone bill is $35 per month plus $0.05 per text. Write a linear equation in slope-intercept form to represent this situation.
y=0.5t+35
400
The equation for the speed (not the height) of a ball which is thrown straight up in the air is given by v=128-32t, where v is the velocity (in feet per second) and t is the number of seconds after the ball is thrown. With what initial velocity was the ball thrown? What is the meaning of the slope?
Slope tells me that, for every second that passes, the speed of the ball decreases by 32 feet per second.
The intercept value tells me that, when the ball was released, it was launched upward at a speed of 128 feet per second.
400
A researcher gathers data to predict the number of new types of plants (y) that will be in a state park after x years. After making a scatter plot of the data, she determined the equation of a line of best fit. The equation is shown below.
y=0.25x+8
Based on the equation, what is the number of new types of plants that will be in the part after 24 years?
a. 8
b. 14
c. 32
d. 64
Option B
400
How many seconds are there in 1 year?
~31,536,000 seconds in 1 year (365 days)
500
When the equation y=2x+t, where t is a constant, is graphed in the xy-plane, the line passes through the point (4,48). What is the value of t?
t=40
500
Billy is charged $50 to rent a car for the week. He also has to pay $0.25 per mile. Write a linear equation that models this situation.
y=0.25x+50
500
The average lifespan of American woman has been tracked, and the model for the data is y=0.2t+73, where t=0 corresponds to 1960. Explain the meaning of the slope and y-intercept.
Slope tells me that, every year, the average lifespan of American women increased by 0.2 years, or about 2.4 months.
The intercept value tells me that, in 1960 (when they started counting), the average lifespan of an American woman was 73 years.
500
The table shows the number of students on a basketball team and the number of free throws each student made during practice.
Based on this information, which best describes the relationship between the number of students and the number of free throws each student made?
a. Positive linear
b. No relationship
c. Negative linear
d. Quadratic
Option B
500
If Mr. Ritter drives 60 miles/ hour. How fast is he traveling in ft/second?
(1 mile = 5280 ft)
88 feet/second