Ordered Pairs, Intercepts, And Slopes Worksheet Page 6
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18Chapter — Graphng
m
odeLs
Model 1
Find two ordered pair solutions for the equation x – 2y = 8:
Pick a value for x
Pick a value for y
Let x = 4
Let y = 1
Solve for y
Solve for x
x
-
2
y
=
8
x
-
2
y
=
8
4 2
-
y
=
8
x
-
2 1
( )
=
8
4 4 2
- -
y
= -
8 4
x
- =
2 8
-
y
=
2
4
x
- + = +
2 2 8 2
-
2
y
4
x
=
10
=
-
-
2
2
Ordered pair: (10, 1)
y
= -
2
Ordered pair: (4, –2)
Validate
Validate
x
-
2
y
=
8
x
-
2
y
=
8
?
?
4 2 2
- - =
(
)
8
10 2 1
-
( )
=
8
=
=
8 8
8 8
Model 2
Find the x and y-intercepts for the equation x – 2y = 8:
x-intercept: let y = 0 and solve for x
y-intercept: let x = 0 and solve for y
x
-
2
y
=
8
x
y
−
2
=
8
x
-
=
2 0
( )
8
0 2
−
y
=
8
x
- =
0 8
2
y
8
−
=
x
=
The x - intercept is (8, 0).
8
−
2
y
8
=
−
2
−
2
y
= −
4
The y - intercept is (0, – 4).
Validate
Validate
x
-
2
y
=
8
x
-
2
y
=
8
?
?
-
=
- - =
( )
8
2 0
( )
8
( )
0
2 4
(
)
8
8 8
=
8 8
=
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