Mathematics
Grade10
Easy

Question

Identify the true statement among the following,

  1. If their slope are different, then the system is consistent and dependent
  2. If their slopes are equal and the y-intercepts are also equal, the system has no solution
  3. If their slopes are equal and their y-intercepts are different, then the system is inconsistent
  4. If their slopes are different, then the system has infinitely many solutions

The correct answer is: If their slopes are equal and their y-intercepts are different, then the system is inconsistent


    If their slopes are equal and their y-intercepts are different, then the system is inconsistent

    When lines have the same slope and different y-intercepts they are parallel lines. Parallel lines never intercept. Because these lines never intercept, they have no solution.

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