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Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.

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Question: Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.

Options:

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

Correct Answer: 3

Solution: 

Set y = 0 in the equation: 2x + 6 = 0 => x = -3.

Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.

Practice Questions

Q1
Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.
  1. -3
  2. 3
  3. 2
  4. 0

Questions & Step-by-Step Solutions

Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.
Correct Answer: -3
  • Step 1: Start with the equation of the line: 2x - 3y + 6 = 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: 2x - 3(0) + 6 = 0.
  • Step 4: Simplify the equation: 2x + 6 = 0.
  • Step 5: Solve for x by isolating it: 2x = -6.
  • Step 6: Divide both sides by 2: x = -3.
  • Finding x-intercept – 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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