What is the x-intercept of the line 3x + 4y - 12 = 0?

Practice Questions

Q1
What is the x-intercept of the line 3x + 4y - 12 = 0?
  1. 0
  2. 3
  3. 4
  4. 12

Questions & Step-by-Step Solutions

What is the x-intercept of the line 3x + 4y - 12 = 0?
  • Step 1: Start with the equation of the line: 3x + 4y - 12 = 0.
  • Step 2: To find the x-intercept, we need to set y = 0 because the x-intercept is where the line crosses the x-axis.
  • Step 3: Substitute y = 0 into the equation: 3x + 4(0) - 12 = 0.
  • Step 4: Simplify the equation: 3x - 12 = 0.
  • Step 5: Add 12 to both sides of the equation: 3x = 12.
  • Step 6: Divide both sides by 3 to solve for x: x = 12 / 3.
  • Step 7: Calculate the value: x = 4.
  • Step 8: The x-intercept is the point (4, 0).
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