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If the linear equation 5x + 2y = 10 is graphed, what is the point where it inter

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Question: If the linear equation 5x + 2y = 10 is graphed, what is the point where it intersects the x-axis?

Options:

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

Correct Answer: (2, 0)

Solution: 

To find the x-intercept, set y = 0. Solving gives x = 2, so the intersection point is (2, 0).

If the linear equation 5x + 2y = 10 is graphed, what is the point where it inter

Practice Questions

Q1
If the linear equation 5x + 2y = 10 is graphed, what is the point where it intersects the x-axis?
  1. (2, 0)
  2. (0, 5)
  3. (5, 0)
  4. (0, 2)

Questions & Step-by-Step Solutions

If the linear equation 5x + 2y = 10 is graphed, what is the point where it intersects the x-axis?
  • Step 1: Understand that the x-axis is where y = 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: The point where the line intersects the x-axis is (2, 0).
  • Finding x-intercepts – To find the x-intercept of a linear equation, set y to 0 and solve for x.
  • Graphing linear equations – Understanding how to graph linear equations and interpret their intersections with axes.
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