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    Mathematics
    Grade-8
    Easy

    Question

    What are the slope and y-intercept of the relation represented by the equation 10x + 5y – 15 = 0?

     

    1. Slope: 2, y-intercept: 3
    2. Slope: 2, y-intercept: –3
    3. Slope: –2, y-intercept: 3
    4. Slope: –2, y-intercept: –3

    hintHint:

    Equation of a line, when its slope and intercept is given can be given as- y = mx + b, where m = slope and b = y-intercept.

    The correct answer is: Slope: –2, y-intercept: 3

      GIVEN-
      10x + 5y – 15 = 0
      TO FIND-
      Slope (m) and y-intercept (b)
      SOLUTION-
      10x + 5y – 15 = 0
      ∴                   5y = -10x + 15 ................................... (Subtracting 10x and adding 15 on both sides)
      ∴                     y = -10/5 x + 15 / 5
      ∴                     y = -2x + 3
      Comparing the above equation with y = mx + b, we get-
      Slope = m = -2 and
      y-intercept = b = 3
      FINAL ANSWER-
      Option 'c' i.e. 'Slope: –2, y-intercept: 3' is the correct answer to the given question.

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