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    Mathematics
    Grade-8
    Easy

    Question

    The equation of the line through the point (2, 3) with slope –2 is

     

    1. y = –2x + 7 
    2. y = –2x + 3 
    3. y = –2x + 1
    4. y = –2x – 1

    hintHint:

    Equation of a line in slope point form can be written as- (y-y1) = m (x-x1).

    The correct answer is: y = –2x + 7

      GIVEN-
      Point passing through the given line- (2,3)
      Slope = m = -2
      TO FIND-
      Equation of the given line.
      SOLUTION-
      We know that point (2,3) passes through the given line and it has a slope of -2.
      Hence, x1 = 2, y1 = 3, m = -2.
      (y - y1) = m (x - x1)
      ∴   (y - 3) = -2 (x - 2)
      ∴     y - 3 = -2 (x) - 2 (-2)
      ∴     y - 3 = -2x + 4
      ∴          y = -2x + 4 + 3
      ∴          y = -2x + 7
      FINAL ANSWER-
      Option 'a' i.e. 'y = -2x + 7' is the correct answer to the given question.

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