Writing An Equation Of A Parallel Line Worksheet With Answer Key - Algebra 1 Concepts And Skills Chapter 5, Lesson 2
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1ALGEBRA 1 CONCEPTS AND SKILLS
CHAPTER 5, LESSON 2, EXTRA EXAMPLE
Extra Example 4 Write an Equation of a Parallel Line
Write in slope-intercept form the equation of the line that is parallel to the
line y = 3x + 2 and passes through the point (2, 1).
S
OLUTION
The slope of the original line is m = 3, so the slope of the parallel line is also
m = 3. The line passes through the point (x
, y
) = (2, 1).
1
1
y – y
= m(x – x
) Write point-slope form.
1
1
y – (1) = 3(x – 2)
Substitute 3 for m, 2 for x
, and 1 for y
.
1
1
y – 1 = 3x – 6
Use distributive property.
y = 3x – 5
Add 1 to each side.
The equation of the line is y = 3x – 5.
ANSWER
CHECK
You can check your answer graphically.
The line y = 3x – 5 is parallel to the line
y = 3x + 2 and passes through the point (2, 1).
y
2
y
3x
2
(2, 1)
x
2
1
3
2
4
y
3x
5
Algebra 1 Concepts and Skills, Chapter 5, Lesson 2, Extra Example
1
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