Respuesta :

Given the graph of a line

As shown the line passes through the point (0, 0)

So, the relation has the form:

[tex]y=kx[/tex]

We will find the value of k using one point lying on the line

As shown the line passes through the point (4, 14)

So, when x = 4, y = 14

Substitute with x and y into the equation: y = k * x

so,

[tex]\begin{gathered} 14=k\cdot4 \\ \\ k=\frac{14}{4}=3.5 \end{gathered}[/tex]

so, the answer will be option C) y = 3.5x