a line in the xy- plane has the equation y=kx, where k is a constant. The line passes through the point (1,n) and (n,16). which of the follo

Question

a line in the xy- plane has the equation y=kx, where k is a constant. The line passes through the point (1,n) and (n,16). which of the following could be the value of n?

A)1
B)2
C)4
D)8

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Julia 3 weeks 2021-09-24T06:02:37+00:00 1 Answer 0

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    0
    2021-09-24T06:03:59+00:00

    Answer:

    Option C) 4

    Step-by-step explanation:

    we know that

    A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

    In this problem

    The equation of the line represented a direct variation

    The value of k is equal to k=y/x

    we have the points

    (1,n) and (n,16)

    so

    k=n/1

    k=16/n

    equate

    n/1=16/n

    solve for n

    n^{2}=16\\ \\n=(+/-)4

    therefore

    The value of n could be 4 or -4

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