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If a line has the equation 5x + 12y = 60, what is the x-intercept? (2019)

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Question: If a line has the equation 5x + 12y = 60, what is the x-intercept? (2019)

Options:

  1. 12
  2. 5
  3. 60
  4. 0

Correct Answer: 12

Exam Year: 2019

Solution: 

Setting y = 0 in the equation gives 5x = 60, thus x = 12.

If a line has the equation 5x + 12y = 60, what is the x-intercept? (2019)

Practice Questions

Q1
If a line has the equation 5x + 12y = 60, what is the x-intercept? (2019)
  1. 12
  2. 5
  3. 60
  4. 0

Questions & Step-by-Step Solutions

If a line has the equation 5x + 12y = 60, what is the x-intercept? (2019)
  • Step 1: Understand that the x-intercept is the point where the line crosses the x-axis.
  • Step 2: Know that at the x-axis, the value of y is always 0.
  • Step 3: Substitute y = 0 into the equation 5x + 12y = 60.
  • Step 4: The equation becomes 5x + 12(0) = 60, which simplifies to 5x = 60.
  • Step 5: Solve for x by dividing both sides of the equation by 5.
  • Step 6: This gives x = 60 / 5, which simplifies to x = 12.
  • Step 7: Therefore, the x-intercept is 12.
  • Linear Equations – Understanding how to manipulate and interpret linear equations to find specific points such as intercepts.
  • Intercepts – Knowing how to find the x-intercept by setting y to zero in the equation of a line.
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