What is the x-intercept of the line represented by the equation 2x + 12y = 18?

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To find the x-intercept of the line represented by the equation 2x + 12y = 18, we need to determine the point at which the line crosses the x-axis. The x-intercept occurs when the value of y is equal to zero.

Here are the steps to find the x-intercept:

  1. Start with the equation: 2x + 12y = 18.
  2. Substitute y = 0 into the equation since we are looking for the x-intercept.
  3. The equation becomes: 2x + 12(0) = 18.
  4. This simplifies to: 2x = 18.
  5. Now, solve for x:
    • Divide both sides by 2:
      x = 18 / 2.
    • This gives us: x = 9.

Therefore, the x-intercept of the line represented by the equation 2x + 12y = 18 is (9, 0).

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