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Determine the x-intercept of the line 4x - 5y + 20 = 0.

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Question: Determine the x-intercept of the line 4x - 5y + 20 = 0.

Options:

  1. -5
  2. 5
  3. 4
  4. -4

Correct Answer: -4

Solution: 

Setting y = 0 in the equation gives 4x + 20 = 0, thus x = -5.

Determine the x-intercept of the line 4x - 5y + 20 = 0.

Practice Questions

Q1
Determine the x-intercept of the line 4x - 5y + 20 = 0.
  1. -5
  2. 5
  3. 4
  4. -4

Questions & Step-by-Step Solutions

Determine the x-intercept of the line 4x - 5y + 20 = 0.
  • Step 1: Start with the equation of the line: 4x - 5y + 20 = 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 - 5(0) + 20 = 0.
  • Step 4: Simplify the equation: 4x + 20 = 0.
  • Step 5: Solve for x by isolating x: 4x = -20.
  • Step 6: Divide both sides by 4: x = -5.
  • Finding x-intercept – To find the x-intercept of a line, set y = 0 and solve for x.
  • Linear equations – Understanding the standard form of a linear equation and how to manipulate it.
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