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Which of the following statements is true about the equation 4x - 5y = 20?

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Question: Which of the following statements is true about the equation 4x - 5y = 20?

Options:

  1. It represents a vertical line.
  2. It has a positive slope.
  3. It has no x-intercept.
  4. It is a horizontal line.

Correct Answer: It has a positive slope.

Solution: 

Rearranging the equation to slope-intercept form gives y = (4/5)x - 4, indicating a positive slope.

Which of the following statements is true about the equation 4x - 5y = 20?

Practice Questions

Q1
Which of the following statements is true about the equation 4x - 5y = 20?
  1. It represents a vertical line.
  2. It has a positive slope.
  3. It has no x-intercept.
  4. It is a horizontal line.

Questions & Step-by-Step Solutions

Which of the following statements is true about the equation 4x - 5y = 20?
  • Step 1: Start with the equation 4x - 5y = 20.
  • Step 2: Rearrange the equation to isolate y on one side. First, subtract 4x from both sides: -5y = -4x + 20.
  • Step 3: Now, divide every term by -5 to solve for y: y = (4/5)x - 4.
  • Step 4: Look at the equation y = (4/5)x - 4. The coefficient of x is 4/5, which is positive.
  • Step 5: Since the slope (4/5) is positive, this indicates that the line rises as it moves from left to right.
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