Straight Lines
Easymathematics
The slope of the line 3x + 4y = 12 is
Select the correct option:
Solution
Incorrect! Answer:
-3/4
- Identify Form: The equation is in the general form Ax+By+C=0.
- Convert to Slope-Intercept Form: Rearrange to solve for y (y=mx+c):
- 4y=−3x+12
- y=(4−3)x+3
- Extraction: The slope m is the coefficient of x.
- Result: m=−3/4. Alternatively, slope m=−A/B=−3/4.
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About This Question
- Subject
- mathematics
- Chapter
- coordinate geometry
- Topic
- straight lines
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
-3/4
- Identify Form: The equation is in the general form Ax+By+C=0.
- Convert to Slope-Intercept Form: Rearrange to solve for y (y=mx+c):
- 4y=−3x+12
- y=(4−3)x+3
- Extraction: The slope m is the coefficient of x.
- Result: m=−3/4. Alternatively, slope m=−A/B=−3/4.
This easy difficulty mathematics question is from the chapter coordinate geometry, covering the topic of straight lines. It appeared in the 2025 exam.
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