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

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

In this problem

The equation of the line represented a direct variation

The value of k is equal to [tex]k=y/x[/tex]

we have the points

(1,n) and (n,16)

so

[tex]k=n/1[/tex]

[tex]k=16/n[/tex]

equate

[tex]n/1=16/n[/tex]

solve for n

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

therefore

The value of n could be 4 or -4

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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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