U4 D1 Ordered Pairs.notebook
March 31, 2017
The xy-plane is known as the Cartesian plane.
Unit 4: Linear Functions
4-1: Ordered Pairs and Linear Functions
The coordinates of a point on the Cartesian plane form an ordered pair, (x , y).
Opening Activity:
•
Read page 80 and use it to fill in the boxes on the given diagram.
A relation is a pattern that connects two sets of data.
A linear relation will be a straight line when graphed.
When each x-value has only one corresponding y-value, the relation is called a function. When graphed, a function will touch any
vertical line only once.
Mar 29­12:44 PM
Mar 29­12:45 PM
Example 1: a) Graph the given points on the grid.
Example 2: For each table of values, find the patterns in both the x- and y-values and use the pattern to fill in the remainder of
the table.
A(-1,5)
B(-3,-4)
C(4, 6)
D(0,-3)
E(5,0)
F(3,-1)
G(0,0)
H(-6,2)
I(2,1)
J(-2,0)
x
­1
1
3
y
2
4
6
x
­3
­6
­9
y
5
10
15
b) State the coordinates of three points
that form a linear relation.
Mar 29­12:45 PM
Mar 29­12:48 PM
Example 4: Jamal earns $8.00/h for delivering flyers.
a) Complete the table of values for his earnings.
Example 3: Determine whether each pattern represents
i) a linear relation.
a)
ii) a function.
b)
x (time in
1
hours)
2
3
y
(earnings
8
in
dollars)
16
24
4
b) Use the table of values to estimate Jamal‛s earnings for 3.5 hours of work.
Mar 29­12:53 PM
Mar 29­12:54 PM
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