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Which of the following statements is true regarding the graph of the equation 3x

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Question: Which of the following statements is true regarding the graph of the equation 3x + 4y = 12? (2023)

Options:

  1. It intersects the x-axis at (4, 0).
  2. It intersects the y-axis at (0, 3).
  3. It has a positive slope.
  4. It is a vertical line.

Correct Answer: It intersects the x-axis at (4, 0).

Exam Year: 2023

Solution: 

Setting y = 0 gives x = 4, indicating that the graph intersects the x-axis at (4, 0).

Which of the following statements is true regarding the graph of the equation 3x

Practice Questions

Q1
Which of the following statements is true regarding the graph of the equation 3x + 4y = 12? (2023)
  1. It intersects the x-axis at (4, 0).
  2. It intersects the y-axis at (0, 3).
  3. It has a positive slope.
  4. It is a vertical line.

Questions & Step-by-Step Solutions

Which of the following statements is true regarding the graph of the equation 3x + 4y = 12? (2023)
  • Step 1: Start with the equation 3x + 4y = 12.
  • Step 2: To find where the graph intersects the x-axis, set y = 0.
  • Step 3: Substitute y = 0 into the equation: 3x + 4(0) = 12.
  • Step 4: Simplify the equation: 3x = 12.
  • Step 5: Solve for x by dividing both sides by 3: x = 12 / 3.
  • Step 6: Calculate the value: x = 4.
  • Step 7: The intersection point on the x-axis is (4, 0).
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