Find the Equation of a Line Parallel or Perpendicular to Another Line
Practice Problems
1.
Find the equation of a line passing through the point (4, –7) parallel to the line 4x + 6y = 9.
2.
Find the equation of a line passing through the point (–3, 8) perpendicular to the line 2x – 7y = –11.
3.
Find the equation of a line passing through the point (5, 4) perpendicular to the line –4x – 3y = 6.
4.
Find the equation of a line passing through the point (–2, –1) perpendicular to the line 5x + 6y = –6.
5.
Find the equation of a line passing through the point (–7, 2) parallel to the line –4x + 10y = –5.
6.
Find the equation of a line passing through the point (8, –9) perpendicular to the line 3x + 8y = 4.
Answers
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Find the Equation of a Line Parallel or Perpendicular to Another Line – Practice Problems
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Detailed Solutions
1.
Find the equation of a line passing through the point (4, –7) parallel to the line 4x + 6y = 9.
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept. Line is parallel so use m = –2/3.
(
)
)( )
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)
–21 = –8 + 3b
Step 3: Write the answer.
2.
Find the equation of a line passing through the point (–3, 8) perpendicular to the line 2x – 7y = –11.
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept. Line is perpendicular so use m = –7/2.
(
)
)(
(
(
)
)
16 = 21 + 2b
Step 3: Write the answer.
Find the Equation of a Line Parallel or Perpendicular to Another Line – Practice Problems
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3.
Find the equation of a line passing through the point (5, 4) perpendicular to the line –4x – 3y = 6.
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept. Line is perpendicular so use m = 3/4.
(
)
( )( )
(
)
16 = 15 + 4b
Step 3: Write the answer.
4.
Find the equation of a line passing through the point (–2, –1) perpendicular to the line 5x + 6y = –6.
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept. Line is perpendicular so use m = 6/5.
(
)
( )(
(
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)
–5 = –12 + 5b
Step 3: Write the answer.
Find the Equation of a Line Parallel or Perpendicular to Another Line – Practice Problems
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5.
Find the equation of a line passing through the point (–7, 2) parallel to the line –4x + 10y = –5.
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept. Line is parallel so use m = 2/5.
(
)
( )(
)
(
)
10 = –14 + 5b
Step 3: Write the answer.
6.
Find the equation of a line passing through the point (8, –9) perpendicular to the line 3x + 8y = 4.
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept. Line is perpendicular so use m = 8/3.
(
)
( )( )
(
)
–27 = 64 + 3b
Step 3: Write the answer.
Find the Equation of a Line Parallel or Perpendicular to Another Line – Practice Problems
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