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If the linear equation 5x - 2y = 10 is graphed, what is the point of intersectio

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Question: If the linear equation 5x - 2y = 10 is graphed, what is the point of intersection with the x-axis?

Options:

  1. (2, 0)
  2. (0, 5)
  3. (0, -5)
  4. (5, 0)

Correct Answer: (2, 0)

Solution:

Setting y to 0 in the equation gives x = 2, so the intersection with the x-axis is (2, 0).

If the linear equation 5x - 2y = 10 is graphed, what is the point of intersectio

Practice Questions

Q1
If the linear equation 5x - 2y = 10 is graphed, what is the point of intersection with the x-axis?
  1. (2, 0)
  2. (0, 5)
  3. (0, -5)
  4. (5, 0)

Questions & Step-by-Step Solutions

If the linear equation 5x - 2y = 10 is graphed, what is the point of intersection with the x-axis?
  • Step 1: Understand that the x-axis is where y equals 0.
  • Step 2: Substitute y = 0 into the equation 5x - 2y = 10.
  • Step 3: The equation becomes 5x - 2(0) = 10, which simplifies to 5x = 10.
  • Step 4: Solve for x by dividing both sides by 5, giving x = 2.
  • Step 5: Write the point of intersection as (x, y), which is (2, 0).
  • Linear Equations – Understanding how to find points of intersection on a graph by substituting values.
  • Graphing – Identifying the x-intercept by setting y to zero in a linear equation.
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