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If the linear equation 3x - 4y = 12 is graphed, what is the point where it inter

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Question: If the linear equation 3x - 4y = 12 is graphed, what is the point where it intersects the x-axis?

Options:

  1. (4, 0)
  2. (0, 3)
  3. (0, -3)
  4. (12, 0)

Correct Answer: (4, 0)

Solution: 

To find the x-intercept, set y = 0: 3x = 12, thus x = 4, giving the point (4, 0).

If the linear equation 3x - 4y = 12 is graphed, what is the point where it inter

Practice Questions

Q1
If the linear equation 3x - 4y = 12 is graphed, what is the point where it intersects the x-axis?
  1. (4, 0)
  2. (0, 3)
  3. (0, -3)
  4. (12, 0)

Questions & Step-by-Step Solutions

If the linear equation 3x - 4y = 12 is graphed, what is the point where it intersects the x-axis?
  • Step 1: Understand that the x-axis is where y = 0.
  • Step 2: Substitute y = 0 into the equation 3x - 4y = 12.
  • Step 3: The equation becomes 3x - 4(0) = 12, which simplifies to 3x = 12.
  • Step 4: Solve for x by dividing both sides of the equation by 3: x = 12 / 3.
  • Step 5: Calculate the value: x = 4.
  • Step 6: Write the point where the line intersects the x-axis as (4, 0).
  • Finding x-intercepts – The process of determining where a linear equation crosses the x-axis by setting y to zero.
  • Linear equations – Understanding the standard form of a linear equation and how to manipulate it to find specific points.
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