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Determine the x-intercept of the line 4x - 2y + 8 = 0.

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Question: Determine the x-intercept of the line 4x - 2y + 8 = 0.

Options:

  1. -2
  2. 2
  3. 4
  4. 0

Correct Answer: 2

Solution: 

Setting y = 0 in the equation gives 4x + 8 = 0, thus x = -2.

Determine the x-intercept of the line 4x - 2y + 8 = 0.

Practice Questions

Q1
Determine the x-intercept of the line 4x - 2y + 8 = 0.
  1. -2
  2. 2
  3. 4
  4. 0

Questions & Step-by-Step Solutions

Determine the x-intercept of the line 4x - 2y + 8 = 0.
  • Step 1: Start with the equation of the line: 4x - 2y + 8 = 0.
  • Step 2: To find the x-intercept, set y = 0 because the x-intercept is where the line crosses the x-axis.
  • Step 3: Substitute y = 0 into the equation: 4x - 2(0) + 8 = 0.
  • Step 4: Simplify the equation: 4x + 8 = 0.
  • Step 5: Solve for x by isolating it: 4x = -8.
  • Step 6: Divide both sides by 4: x = -2.
  • Finding x-intercept – To find the x-intercept of a line, set y = 0 and solve for x.
  • Linear equations – Understanding how to manipulate and solve linear equations in standard form.
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