April 08, 2015
Lesson 6.7
Graphing Linear Relations
Curriculum Focus: Construct a graph from an equation of a linear
relation and describe the graph.
Get Started:
Make a table/tchart for the following expression:
-2x + 1
x
2x - 3
y
x
y
April 08, 2015
-3x + 2
x
y
-2
-1
0
1
2
3
4
Examples:
1. A grade 8 class is going on a field trip. The bus seats 24 students
An equation that relates the number of boys on the bus to the number
of girls is b = 24 - g, where g represents the number of girls and b
represents the number of boys.
Create a table of values for the relation.
Graph the relation.
Describe the relationship between the variables in the graph.
April 08, 2015
Create a chart for this graph
x
y
Which expression matches this chart and graph?
x+2
You need to know how to describe
the chart and graph movement.
x y
Chart- complete
-6 -9
the following
statement:
-4 -6
When the input
increases by 2,
-2 -3
the output
0 0
increases by 3
therefore:
When the input
decrease by _____
the output _______
2 3
4 6
6 9
Graph- state the movement of the line.
How many spaces over to the left/right
and how many spaces up/down?
2x
-2x
x-2
April 08, 2015
2. The equation of a linear relation is:
y = -4x + 1
a) Create a table of values for the relation for integer values of x from
-4 to 4.
b) Graph the relation.
c) Describe the relationship between the variables in the graph.
Use the following expression to determine the
missing ordered pair.
y= -5x-3
ordered
(1, -8)
(2, -13)
(3,
)
( , -23)
(5,
)
y= 2x+1
random
(-4,
)
(5,
)
(
,13)
(
, -11)