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    Mathematics
    Grade-8
    Easy

    Question

    Which equation represents the line containing points M and N?

    1. y = –4x – 3
    2. y equals negative 1 fourth x minus 3
    3. y equals 1 fourth x minus 3
    4. y = 4x – 3

    hintHint:

    When we have 2 points that lie on a given line then we can find the equation of the said line by using the 2-point formula-
    (y-y1) = (y2-y1) * (x-x1)
                  (x2-x1)

    The correct answer is: y equals negative 1 fourth x minus 3

      GIVEN-
      M (0,-3) and N (8,-5)
      TO FIND-
      Equation containing the points M & N.
      SOLUTION-
      We know that M (0,-3) and N (8,-5) are 2 points on the given line.
      Hence, x1 = 0, y1 = -3, x2 = 8 and y2 = -5.
      (y-y1) = (y2-y1) * (x-x1)
                          (x2-x1)
      ∴ [y - (-3)] = [-5 - (-3)] * (x - 0)
      (8 - 0)
      ∴      y + 3 = -5 + 3 * x
      (8 - 0)
      ∴      y + 3 = -2/8 * x
      ∴            y = -1/4 x - 3 ................... (Subtracting 3 on both sides)
      FINAL ANSWER-
      Option 'b' i.e. 'y = -1/4 x - 3' is the correct answer to the given question.

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