Mathematics
Grade-8
Easy

Question

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

Hint:

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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