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What is the x-intercept of the line 5x - 2y + 10 = 0?

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Question: What is the x-intercept of the line 5x - 2y + 10 = 0?

Options:

  1. -2
  2. 2
  3. 0
  4. 5

Correct Answer: 2

Solution: 

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

What is the x-intercept of the line 5x - 2y + 10 = 0?

Practice Questions

Q1
What is the x-intercept of the line 5x - 2y + 10 = 0?
  1. -2
  2. 2
  3. 0
  4. 5

Questions & Step-by-Step Solutions

What is the x-intercept of the line 5x - 2y + 10 = 0?
  • Step 1: Understand that the x-intercept is where the line crosses the x-axis.
  • Step 2: Know that at the x-axis, the value of y is 0.
  • Step 3: Substitute y = 0 into the equation 5x - 2y + 10 = 0.
  • Step 4: The equation becomes 5x - 2(0) + 10 = 0.
  • Step 5: Simplify the equation to 5x + 10 = 0.
  • Step 6: Solve for x by isolating it. First, subtract 10 from both sides: 5x = -10.
  • Step 7: Now, divide both sides by 5 to find x: x = -2.
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