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The slope of the line represented by the equation 3x - 4y + 12 = 0 is:

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Question: The slope of the line represented by the equation 3x - 4y + 12 = 0 is:

Options:

  1. 3/4
  2. 4/3
  3. -3/4
  4. -4/3

Correct Answer: -3/4

Solution: 

Rearranging gives y = (3/4)x + 3. Slope = 3/4.

The slope of the line represented by the equation 3x - 4y + 12 = 0 is:

Practice Questions

Q1
The slope of the line represented by the equation 3x - 4y + 12 = 0 is:
  1. 3/4
  2. 4/3
  3. -3/4
  4. -4/3

Questions & Step-by-Step Solutions

The slope of the line represented by the equation 3x - 4y + 12 = 0 is:
Correct Answer: 3/4
  • Step 1: Start with the equation 3x - 4y + 12 = 0.
  • Step 2: Move the term with x to the other side by subtracting 3x from both sides: -4y = -3x - 12.
  • Step 3: To isolate y, divide every term by -4: y = (3/4)x + 3.
  • Step 4: Identify the slope from the equation y = mx + b, where m is the slope. Here, m = 3/4.
  • Linear Equations – Understanding how to rearrange linear equations into slope-intercept form (y = mx + b) to identify the slope.
  • Slope Interpretation – Recognizing that the coefficient of x in the slope-intercept form represents the slope of the line.
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