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What is the y-intercept of the line given by the equation 5x - 2y = 10? (2023)

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Question: What is the y-intercept of the line given by the equation 5x - 2y = 10? (2023)

Options:

  1. -5
  2. 5
  3. 2
  4. -2

Correct Answer: -2

Exam Year: 2023

Solution: 

Rearranging to slope-intercept form: -2y = -5x + 10, thus y = (5/2)x - 5. The y-intercept is -5.

What is the y-intercept of the line given by the equation 5x - 2y = 10? (2023)

Practice Questions

Q1
What is the y-intercept of the line given by the equation 5x - 2y = 10? (2023)
  1. -5
  2. 5
  3. 2
  4. -2

Questions & Step-by-Step Solutions

What is the y-intercept of the line given by the equation 5x - 2y = 10? (2023)
  • Step 1: Start with the equation 5x - 2y = 10.
  • Step 2: Rearrange the equation to isolate the term with y. Subtract 5x from both sides: -2y = -5x + 10.
  • Step 3: Now, divide every term by -2 to solve for y: y = (5/2)x - 5.
  • Step 4: In the equation y = (5/2)x - 5, identify the y-intercept. The y-intercept is the value of y when x is 0.
  • Step 5: From the equation, the y-intercept is -5.
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