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What is the slope of the line represented by the equation 2x - 3y + 6 = 0?

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Question: What is the slope of the line represented by the equation 2x - 3y + 6 = 0?

Options:

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

Correct Answer: -2/3

Solution: 

Rearranging gives y = (2/3)x + 2, slope = 2/3.

What is the slope of the line represented by the equation 2x - 3y + 6 = 0?

Practice Questions

Q1
What is the slope of the line represented by the equation 2x - 3y + 6 = 0?
  1. 2/3
  2. 3/2
  3. -2/3
  4. -3/2

Questions & Step-by-Step Solutions

What is the slope of the line represented by the equation 2x - 3y + 6 = 0?
Correct Answer: 2/3
  • Step 1: Start with the equation 2x - 3y + 6 = 0.
  • Step 2: Rearrange the equation to isolate y. First, move 2x and 6 to the other side: -3y = -2x - 6.
  • Step 3: Divide every term by -3 to solve for y: y = (2/3)x + 2.
  • Step 4: Identify the slope from the equation y = mx + b, where m is the slope. Here, m = 2/3.
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