Systems Of Equations And Graphing Worksheet
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1Systems of Equations and Graphing
Use MathGV to graph the following pairs of lines. Find the point (x, y) at which they cross. Remember,
when using MathGV you must have lines written in slope-intercept form!
+
=
=
−
+
=
3
4
2
5
x
y
y
x
x
y
1.
2.
3.
−
=
=
+
−
=
3
1
2
3
2
4
x
y
y
x
x
y
( ____, ____ )
( ____, ____ )
( ____, ____ )
The following lines do not cross at “nice” points. Estimate points to the nearest hundredth.
−
=
+
=
+
=
3
6
4
2
3
2
4
5
2
x
y
x
y
x
y
4.
5.
6.
+
=
−
=
−
=
2
1
8
3
3
16
15
1
x
y
x
y
x
y
( ____, ____ )
( ____, ____ )
( ____, ____ )
The following pairs of lines are special. Describe what is special about each pair.
−
=
3
5
7
x
y
7.
_________________________________________________________________
−
=
3
5
12
x
y
+
=
4
11
x
y
8.
_________________________________________________________________
+
=
2
8
22
x
y
=
5
y
x
9.
_________________________________________________________________
−
=
5
2
x
y
In 7 through 9 above, the slopes are what make these lines special. Find the slope for each of the lines in the
systems.
− y
=
− y
=
For #7:
3
5
7
m = _______ and
3
5
12
m = _______
x
x
+ y
4 =
+ y
=
For #8:
11
m = _______ and
2
8
22
m = _______
x
x
=
− y
=
For #9:
y 5
m = _______ and
5
2
m = ________
x
x
What do you notice about the slopes in each system in 7 through 9?________________________________
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