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What is the y-intercept of the line 5x + 2y - 10 = 0?

Practice Questions

Q1
What is the y-intercept of the line 5x + 2y - 10 = 0?
  1. 5
  2. 10
  3. 2
  4. 0

Questions & Step-by-Step Solutions

What is the y-intercept of the line 5x + 2y - 10 = 0?
  • Step 1: Start with the equation of the line: 5x + 2y - 10 = 0.
  • Step 2: To find the y-intercept, set x = 0 in the equation.
  • Step 3: Substitute x = 0 into the equation: 5(0) + 2y - 10 = 0.
  • Step 4: Simplify the equation: 0 + 2y - 10 = 0, which simplifies to 2y - 10 = 0.
  • Step 5: Add 10 to both sides of the equation: 2y = 10.
  • Step 6: Divide both sides by 2 to solve for y: y = 10 / 2.
  • Step 7: Simplify the result: y = 5.
  • Step 8: The y-intercept is the point where the line crosses the y-axis, which is (0, 5).
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