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    Mathematics
    Grade-8
    Easy

    Question

    Match the function f(x) = - 3x -5 to the graph

    hintHint:

    1. 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.
    2. Negative slope represents a line that moves downwards from left to right and positive slope represents a line that moves upwards from left to right.
    3. Y-intercepts refers to the value of y-coordinate on a line when x = 0.

    The correct answer is:

      GIVEN-
      f(x) = - 3x - 5
      TO FIND-
      Graph of the given function from the given options.
      SOLUTION-
      Comparing the given function i.e. f(x) = - 3x -5 with y = mx + b, we get-
      Slope = m = -3 and y-intercept = -5.
      Now, since the slope of the given function is negative, the line should move downwards from left to right.
      Hence, options a and d are eliminated as they are moving upwards from left to right.
      Also, y-intercept for the given function = -5 i.e. it passes through point (0,-5).
      Hence, option b is also eliminated.
      FINAL ANSWER-
      Option 'c' is the correct answer to the given question.

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