Chapter 5 Writing Linear Equations - 5.2 Point-Slope Form Worksheet Page 3
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Write an Equation of a Parallel Line
Student Help
4
EXAMPLE
M
E
ORE
XAMPLES
Write in slope-intercept form the equation of the line that is parallel to the line
y
2x
3 and passes through the point (3,
1).
More examples
are available at
Solution
The slope of the original line is m
2. So, the slope of the parallel line is also
m
2. The line passes through the point (x
, y
)
(3,
1).
1
1
y
y
m(x
x
)
Write point-slope form.
1
1
y
( 1)
2(x
3)
Substitute 2 for m, 3 for x
, and 1 for y
.
1
1
y
1
2(x
3)
Simplify.
y
1
2x
6
Use distributive property.
y
2x
7
Subtract 1 from each side.
The equation of the line is y
2x
7.
ANSWER
You can check
CHECK
y
1
your answer graphically.
2
5
x
3
1
The line y
2x
7 is
1
(3,
1)
parallel to the line y
2x
3
y
2x
3
and passes through the point
3
(3,
1).
y
2x
7
7
Write an Equation of a Parallel Line
Write in slope-intercept form the equation of the line that is parallel to
6.
the line y
2x
1 and passes through the point (3,
2). Check your
answer graphically.
Now you know two ways to write linear equations – in
CHOOSING A FORM
slope-intercept form or in point-slope form. Depending on the information you
are given, sometimes it is easier to write a linear equation in one form rather than
the other. The following summarizes when to use each form.
SUMMARY
SUMMARY
Writing Equations of Lines
1. Use slope-intercept form
2. Use point-slope form
y
mx
b
y
y
m(x
x
)
1
1
if you are given the
if you are given
slope m and the
the slope m and a
y-intercept b.
point (x
, y
).
1
1
280
Chapter 5 Writing Linear Equations
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