Linear Relations
More Linear Relations
Rate of Change/Slope
So Many Linear Relations!
RANDOM TRIVIA
100
Which one is linear?
C
100
Which is the independent variable in y = 2x + 3?
x
100
Is this slope positive or negative?
Positive
100
in the relation y = -5x - 2, what is the y-intercept?
-2
100
Who holds the record for the most career home runs in Major League Baseball (MLB)?
Barry Bonds
200
What is the equation of the following table of values?
y = x - 1
OR
200
How may total linear relations are present in the following? 
6
200
What is the slope of a line whose change is y is 14 and change in x is -2?
-7
200
The y-intercept is
A. the value of the independent variable when the dependent variable is zero; sometimes called the initial value.
B. the value of the dependent variable when the independent variable is greater than zero; sometimes called the initial value.
C. the value of the dependent variable when the independent variable is zero; sometimes called the zero value.
D. the value of the dependent variable when the independent variable is zero; sometimes called the initial value.
D
200
What artist made history by winning all four major Grammy categories in 2020 (Album, Record, Song of the Year, Best New Artist)?
Billy Eilish
300
Graph the following:
y = 2x + 4
300
What is the y-intercept for the line y = 24x + 23?
23
300
What is the slope of the line passes though points (2, 7) and (6, -1)?
-2
300
What is the slope and y-intercept of the following graph?
Slope: 4
Y-intercept: 20
300
Which U.S. state has the most active volcanoes?
Alaska
400
Is this relation linear? Explain why/why not.
YES
As x-values increase by 1, y-values increase by 3. x=3 is missing but the pattern remains consistent for x=4 and up.
400
Which graph represents the line y = -2x + 4?
C
400
A graph has a y-intercept of -5 and an x-intercept of -3. What is the slope?
-5/3
400
Given the linear equation y = -2x + 3, please tell me the missing values in the following ordered pairs:
(-3, y) and (x, -1)
y = 9
x = 2
400
Who was the first musician to be knighted by the Queen of England?
Sir Paul McCartney
500
Define the difference between discrete and continuous relationships. Give of an example of each.
Discrete: items, money, height/altitude
Continous: time, distance travelled
500
A sand castle shrinks in height by 5cm every hour. The castle started at 50cm and is completely gone after 10 hours.
a)How much did it shrink per hour?
b)What would be the slope of the graph?
c)What would be the y-intercept of the graph?
d)What would be the dependent variable for this situation?
a)5cm/hr
b) - 5
c)50
d)Height
500
A gym charges a set membership fee, then a set cost per visit, as seen in the diagram.
a)What is the cost per visit(aka the slope)?
b)What is the membership fee(aka the initial value)?
c)What is the equation for this relation?
a) $2/visit; Slope = 2
b) Membership fee is $40 ; initial value/y-int = 40
c) y=2x + 40
500
A museum offers two types of memberships:
1)$6 per visit OR 2) a flat fee of $10 and 3$ per visit
Which type would be better for more than 3 visits? Explain
2 because for 4 visits it is cheaper($22 vs $24) and after that it increases by $3/visit vs $6/visit
500
In Back to the Future, what speed does the DeLorean need to hit in order to time travel?
88 mph