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If the line 5x + 2y = 10 intersects the y-axis, what is the y-coordinate of the

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Question: If the line 5x + 2y = 10 intersects the y-axis, what is the y-coordinate of the intersection point?

Options:

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

Correct Answer: 2

Solution: 

Setting x = 0 in the equation gives 2y = 10, hence y = 5.

If the line 5x + 2y = 10 intersects the y-axis, what is the y-coordinate of the

Practice Questions

Q1
If the line 5x + 2y = 10 intersects the y-axis, what is the y-coordinate of the intersection point?
  1. 0
  2. 2
  3. 5
  4. 10

Questions & Step-by-Step Solutions

If the line 5x + 2y = 10 intersects the y-axis, what is the y-coordinate of the intersection point?
  • Step 1: Understand that the y-axis is where x = 0.
  • Step 2: Substitute x = 0 into the equation 5x + 2y = 10.
  • Step 3: The equation becomes 5(0) + 2y = 10.
  • Step 4: Simplify the equation to 2y = 10.
  • Step 5: Solve for y by dividing both sides by 2, which gives y = 5.
  • Finding the y-intercept – To find the y-coordinate of the intersection point with the y-axis, set x = 0 in the equation of the line.
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