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9 March, 14:58

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

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  1. 9 March, 17:28
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    A) The x-intercept decreases.

    Step-by-step explanation:

    I think your question is missed of key information, allow me to add in and hope it will fit the original one.

    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

    Here is my answer:

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

    x-intercept happen when y = 0

    When b decreases and m stay the same, the value of f (x) will be decreased. For example: f (x) = 2x + 3 = 0

    When b unchanged, m unchanged we have: 2x + 3 = 0 x = - 3/2

    When b decreases to 2, m unchanged we have: 2x + 2 = 0 x = - 1

    Obviously that, - 1 < - 3/2 so the x-intercept will be decreased
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