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Find the y-intercept of the line represented by the equation 5x - 2y = 10.

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Question: Find the y-intercept of the line represented by the equation 5x - 2y = 10.

Options:

  1. 5
  2. 2
  3. 0
  4. 10

Correct Answer: 2

Solution: 

Set x = 0: -2y = 10 => y = -5. The y-intercept is (0, -5).

Find the y-intercept of the line represented by the equation 5x - 2y = 10.

Practice Questions

Q1
Find the y-intercept of the line represented by the equation 5x - 2y = 10.
  1. 5
  2. 2
  3. 0
  4. 10

Questions & Step-by-Step Solutions

Find the y-intercept of the line represented by the equation 5x - 2y = 10.
Correct Answer: (0, -5)
  • Step 1: Start with the equation of the line: 5x - 2y = 10.
  • Step 2: To find the y-intercept, set x = 0.
  • Step 3: Substitute 0 for x in the equation: 5(0) - 2y = 10.
  • Step 4: Simplify the equation: 0 - 2y = 10, which simplifies to -2y = 10.
  • Step 5: To solve for y, divide both sides by -2: y = 10 / -2.
  • Step 6: Calculate the value: y = -5.
  • Step 7: The y-intercept is the point where the line crosses the y-axis, which is (0, -5).
  • Finding the y-intercept – To find the y-intercept of a line, set x to 0 and solve for y.
  • Understanding linear equations – Recognizing the standard form of a linear equation and how to manipulate it.
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