1 Answer

Vico · Answer 1 · 2023-07-16T18:25:02+0000

The line passes through the origin. Hence, the equation of the line is of the form:

$\begin{gathered} y=kx \\ \text{ Where k is a constant} \\ \text{k is the constant of proportionality} \end{gathered}$

The point (1,5) is on the line.

Substituting the x-value and the y-value of the point (1,5) into the equation, we have

$\begin{gathered} 5=k(1) \\ \text{Hence,} \\ k=5 \end{gathered}$

Thus the constant of proportionality is 5.

The correct option is C

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