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The equation of the straight line passing through (4, 5) and parallel to the line 2x - 3y = 5 is given by
  • a)
    2 x - 3 y = 7
  • b)
    2 x - 3 y = -7
  • c)
    3 x - 2 y = 7
  • d)
    3 x - 2 y = -7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The equation of the straight line passing through (4, 5) and parallel ...
 The given straight line is 

The equation of a straight line parallel to (i) will be

Since (ii) passes through P(4, 5), therefore the coordinates of P A\*ill satisfy equation (ii)

∴ Required equation of the straight line is
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Most Upvoted Answer
The equation of the straight line passing through (4, 5) and parallel ...
 The given straight line is 

The equation of a straight line parallel to (i) will be

Since (ii) passes through P(4, 5), therefore the coordinates of P A\*ill satisfy equation (ii)

∴ Required equation of the straight line is
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Community Answer
The equation of the straight line passing through (4, 5) and parallel ...
Given Information:
- Point (4, 5) passes through the line
- The line is parallel to 2x - 3y = 5

Explanation:

Finding the Gradient:
- To find the gradient of the given line 2x - 3y = 5, rearrange it into the slope-intercept form, y = mx + c.
- 2x - 3y = 5
- -3y = -2x + 5
- y = (2/3)x - 5/3
- The gradient of this line is 2/3

Using the Gradient:
- Parallel lines have the same gradient. Therefore, the line passing through (4, 5) will also have a gradient of 2/3.
- Using the point-slope form of a linear equation, y - y1 = m(x - x1), substitute (4, 5) as (x1, y1) and 2/3 as the gradient.
- y - 5 = (2/3)(x - 4)
- 3y - 15 = 2x - 8
- 2x - 3y = -7

Conclusion:
- The equation of the straight line passing through (4, 5) and parallel to the line 2x - 3y = 5 is 2x - 3y = -7, which is option B.
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The equation of the straight line passing through (4, 5) and parallel to the line 2x - 3y = 5 is given bya)2 x - 3 y = 7b)2 x - 3 y = -7c)3 x - 2 y = 7d)3 x - 2 y = -7Correct answer is option 'B'. Can you explain this answer?
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The equation of the straight line passing through (4, 5) and parallel to the line 2x - 3y = 5 is given bya)2 x - 3 y = 7b)2 x - 3 y = -7c)3 x - 2 y = 7d)3 x - 2 y = -7Correct answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The equation of the straight line passing through (4, 5) and parallel to the line 2x - 3y = 5 is given bya)2 x - 3 y = 7b)2 x - 3 y = -7c)3 x - 2 y = 7d)3 x - 2 y = -7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of the straight line passing through (4, 5) and parallel to the line 2x - 3y = 5 is given bya)2 x - 3 y = 7b)2 x - 3 y = -7c)3 x - 2 y = 7d)3 x - 2 y = -7Correct answer is option 'B'. Can you explain this answer?.
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