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27 March, 22:49

Consider the function f (x) = mx + b, where m > 0.

If the value of b decreases, but the value of m remains the same, what will happen to the x-intercept?

A) The x-intercept decreases.

B) The x-intercept increases.

C) The x-intercept approaches zero.

D) The x-intercept remains the same

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Answers (1)
  1. 28 March, 01:23
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    Answer: A) The x-intercept decreases.

    Step-by-step explanation:

    Hi, for the function f (x) = mx + b, if the value of b decreases, but the value of m remains the same, The x-intercept decreases.

    For example

    For b=2, m = 1 and x = 0 (since the y-value of a linear equation when it crosses the x-axis is 0)

    f (x) = 0 (1) + 2 = 2 (x-intercept)

    For b = 1 (b decrease), m = 1 and x = 0

    F (x) = 0 (1) + 1 = 1 (x_intercept also decreases)

    So, the correct option is A) The x-intercept decreases.

    Feel free to ask for more if needed or if you did not understand something.
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