Linear Relations
More Linear Relations
Rate of Change/Slope
So Many Linear Relations!
More Slope and Y-intercept
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
Black forest ham costs $1.20 per 100 grams. What is the unit rate (cost per gram)?
$0.012/g
100
Which country consumes the most chocolate per capita?
Switzerland
200
Determine the slope of the following linear relation.
Slope is:
m= 2/2
=1
200
What is the y-intercept of all of these graphs? 
The y-intercept is where the graph crosses the y-axis, so the y-intercept of all of these graphs is 0.
b=0
200
What was the first toy to be advertised on television?
Mr. Potato Head
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
Determine the y-intercept:
The Y-intercept is:
b=-1
300
What is the loudest animal on Earth?
The sperm whale
300
Denise starts 3m away from the motion sensor and walks 2m/s away.
What is the rate of change of this relation?
The rate of change represents the speed.
rate of change=2m/s
300
What is the slope of the line passes though points (2, 7) and (6, -1)?
-2
300
Shipping a large parcel at Post Express costs $6.00 plus $2 per kg.
What is the rate of change?
The rate of change is the price per kg.
$2/kg
300
What is the slope of a line whose rise is 14 and run is -2?
-7
400
Is this relation linear? Explain why/why not.
YES
As x-values increase by 1, y-values(first differences) increase by 3. x=3 is missing but the pattern remains consistent for x=4 and up.
400
Which graph has a slope of -2 ?
C
400
A graph has a y-intercept of -5 and crosses the x-axis at (3,0). What is the slope?
-5/3
400
Which singer’s real name is Stefani Joanne Angelina Germanotta?
Lady Gaga
400
A gym membership charges:
A flat fee of $10 and 3$ per visit.
What is the y-intercept of this linear relation.
$10
500
Determine the slope.
The slope is:
m= 4/2
=2
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
What is the tiny piece at the end of a shoelace called?
An aglet
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?
b)What is the membership fee?
a) $2/visit; Slope = 2
b) Membership fee is $40 ; initial value/y-int = 40
500
Which of Shakespeare’s plays is the longest?
Hamlet