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

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

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.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the slope of the line represented by the equation 3x - 4y + 12 = 0?
  • Step 1: Start with the equation 3x - 4y + 12 = 0.
  • Step 2: Rearrange the equation to isolate y. First, move 3x and 12 to the other side: -4y = -3x - 12.
  • Step 3: Divide every term by -4 to solve for y: 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.
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