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The equations of two lines are 3y - 4x = 5 and 4y + 6 = 3x. What is the relation between these lines?
- a)Parallel
- b)Perpendicular
- c)Neither parallel nor perpendicular
- d)Collinear
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The equations of two lines are 3y - 4x = 5 and 4y + 6 = 3x. What is th...
Relation Between the Lines
- Equation 1: 3y - 4x = 5
- Equation 2: 4y + 6 = 3x
Explanation:
Comparing Slopes
When comparing the equations of the two lines, we can see that the first equation is in the form of y = (4/3)x + 5/3, which means the slope is 4/3. Whereas, the second equation can be rearranged to form y = (3/4)x - 6/4, giving a slope of 3/4.
Relation Analysis
Since the slopes of the two lines are not equal, they are not parallel. Additionally, the slopes are not negative reciprocals of each other, which would make them perpendicular. Therefore, the two lines are neither parallel nor perpendicular.
Conclusion
The relation between the two lines represented by the given equations is that they are neither parallel nor perpendicular to each other.
- Equation 1: 3y - 4x = 5
- Equation 2: 4y + 6 = 3x
Explanation:
Comparing Slopes
When comparing the equations of the two lines, we can see that the first equation is in the form of y = (4/3)x + 5/3, which means the slope is 4/3. Whereas, the second equation can be rearranged to form y = (3/4)x - 6/4, giving a slope of 3/4.
Relation Analysis
Since the slopes of the two lines are not equal, they are not parallel. Additionally, the slopes are not negative reciprocals of each other, which would make them perpendicular. Therefore, the two lines are neither parallel nor perpendicular.
Conclusion
The relation between the two lines represented by the given equations is that they are neither parallel nor perpendicular to each other.
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The equations of two lines are 3y - 4x = 5 and 4y + 6 = 3x. What is the relation between these lines?a)Parallelb)Perpendicularc)Neither parallel nor perpendiculard)CollinearCorrect answer is option 'C'. Can you explain this answer?
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