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Determine the x-intercept of the line given by the equation 5x + 2y - 10 = 0. (2

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Question: Determine the x-intercept of the line given by the equation 5x + 2y - 10 = 0. (2023)

Options:

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

Correct Answer: 5

Exam Year: 2023

Solution: 

Setting y = 0 in the equation gives 5x = 10, thus x = 2. The x-intercept is 2.

Determine the x-intercept of the line given by the equation 5x + 2y - 10 = 0. (2

Practice Questions

Q1
Determine the x-intercept of the line given by the equation 5x + 2y - 10 = 0. (2023)
  1. 2
  2. 0
  3. 5
  4. 10

Questions & Step-by-Step Solutions

Determine the x-intercept of the line given by the equation 5x + 2y - 10 = 0. (2023)
  • Step 1: Start with the equation of the line: 5x + 2y - 10 = 0.
  • Step 2: To find the x-intercept, set y = 0 in the equation.
  • Step 3: Substitute y = 0 into the equation: 5x + 2(0) - 10 = 0.
  • Step 4: Simplify the equation: 5x - 10 = 0.
  • Step 5: Add 10 to both sides of the equation: 5x = 10.
  • Step 6: Divide both sides by 5 to solve for x: x = 10 / 5.
  • Step 7: Calculate the value: x = 2.
  • Step 8: The x-intercept is the value of x when y = 0, which is 2.
  • Finding x-intercepts – To find the x-intercept of a line, set y to 0 and solve for x.
  • Linear equations – Understanding the standard form of a linear equation and how to manipulate it.
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