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Find the x-intercept of the line 5x - 2y + 10 = 0.

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Question: Find 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. The x-intercept is -2.

Find the x-intercept of the line 5x - 2y + 10 = 0.

Practice Questions

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

Questions & Step-by-Step Solutions

Find the x-intercept of the line 5x - 2y + 10 = 0.
  • Step 1: Start with the equation of the line: 5x - 2y + 10 = 0.
  • Step 2: To find the x-intercept, set y = 0 in the equation.
  • Step 3: Substitute y = 0 into the equation: 5x - 2(0) + 10 = 0.
  • Step 4: Simplify the equation: 5x + 10 = 0.
  • Step 5: Solve for x by isolating it: 5x = -10.
  • Step 6: Divide both sides by 5: x = -2.
  • Step 7: The x-intercept is the value of x when y is 0, which is -2.
  • Finding x-intercepts – To find the x-intercept of a line, set y to 0 and solve for x.
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