Graphing Linear Equations And Functions Worksheet - Welcome To Algebra 1: Concepts And Skills Page 3
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Parallel lines are different lines in the same plane that never
PARALLEL LINES
intersect. Two nonvertical lines are parallel if they have the same slope and
different y-intercepts. Any two vertical lines are parallel.
y
Parallel
vertical
lines
Parallel lines
with slope of
x
m
1
Identify Parallel Lines
Student Help
4
EXAMPLE
M
E
ORE
XAMPLES
Which of the following lines are parallel?
More examples
x
2y
6
x
2y
2
x
2y
4
line a:
line b:
line c:
are available at
Solution
Rewrite
each equation in slope-intercept form.
1
1
1
y
x
3
y
x
1
y
x
2
line a:
line b:
line c:
2
2
2
Identify
the slope of each equation.
1
1
1
The slope of line a is
. The slope of line b is
. The slope of line c is
.
2
2
2
Compare
the slopes.
1
Lines
a
and
b
are parallel because each has a slope of
.
2
Line
c
is not parallel to either of the other two lines because it has a
1
slope of
.
2
y
c
a
The graph gives you a
CHECK
visual check. It shows that line
b
c intersects each of the two
1
x
parallel lines.
1
2
4
2
Line a and line b are parallel.
ANSWER
Identify Parallel Lines
5.
Which of the following lines are parallel?
3x
2y
6
3x
2y
6
6x
4y
6
line a:
line b:
line c:
4.7 Graphing Lines Using Slope-Intercept Form
245
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