CA Foundation Exam > CA Foundation Questions > Find the equation of the line passing through...
Start Learning for Free
Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0
- a)3x+5y+8=0
- b)5x+3y+8=0
- c)5x+3y-8=0
- d)3x+5y-8=0
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Find the equation of the line passing through the point (1, 1) and par...
Solution:
To find the equation of the line passing through point (1, 1) and parallel to the line 3x + 5y + 17 = 0, we need to follow the given steps:
Step 1: Write the given equation in slope-intercept form.
3x + 5y + 17 = 0
5y = -3x - 17
y = (-3/5)x - 17/5
Step 2: Identify the slope of the given line.
The given line is in slope-intercept form y = mx + b
where m is the slope of the line.
Thus, the slope of the given line is (-3/5).
Step 3: Identify the slope of the parallel line.
Since the parallel line has the same slope as the given line, the slope of the parallel line is also (-3/5).
Step 4: Use the point-slope form of the equation to find the equation of the parallel line.
The point-slope form of the equation of a line passing through point (x1, y1) with slope m is given by:
y - y1 = m(x - x1)
Substituting the values of (x1, y1) = (1, 1) and m = (-3/5), we get:
y - 1 = (-3/5)(x - 1)
Simplifying the equation, we get:
5y - 5 = -3x + 3
3x + 5y - 8 = 0
Therefore, the equation of the line passing through the point (1, 1) and parallel to the line 3x + 5y + 17 = 0 is 3x + 5y - 8 = 0 (option D).
To find the equation of the line passing through point (1, 1) and parallel to the line 3x + 5y + 17 = 0, we need to follow the given steps:
Step 1: Write the given equation in slope-intercept form.
3x + 5y + 17 = 0
5y = -3x - 17
y = (-3/5)x - 17/5
Step 2: Identify the slope of the given line.
The given line is in slope-intercept form y = mx + b
where m is the slope of the line.
Thus, the slope of the given line is (-3/5).
Step 3: Identify the slope of the parallel line.
Since the parallel line has the same slope as the given line, the slope of the parallel line is also (-3/5).
Step 4: Use the point-slope form of the equation to find the equation of the parallel line.
The point-slope form of the equation of a line passing through point (x1, y1) with slope m is given by:
y - y1 = m(x - x1)
Substituting the values of (x1, y1) = (1, 1) and m = (-3/5), we get:
y - 1 = (-3/5)(x - 1)
Simplifying the equation, we get:
5y - 5 = -3x + 3
3x + 5y - 8 = 0
Therefore, the equation of the line passing through the point (1, 1) and parallel to the line 3x + 5y + 17 = 0 is 3x + 5y - 8 = 0 (option D).
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer?
Question Description
Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer?.
Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer?.
Solutions for Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the equation of the line passing through the point (1, 1) and parallel to the line 3x+5y+17=0a)3x+5y+8=0b)5x+3y+8=0c)5x+3y-8=0d)3x+5y-8=0Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup