Respuesta :

Answer: First option.

Step-by-step explanation:

The equation of a line that passes through the origin (which is the point [tex](0,0)[/tex]), has the following form:

[tex]y=mx[/tex]

Where "m" is the slope of the line.

By definition, Proportional relationships have this form:

[tex]y=kx[/tex]

Where "k" is the  Constant of proportionality.

Therefore, the graph of  a Proportional relationship is a straight line that passes through the origin; then:

[tex]m=k[/tex]

Observe the equations provided in the exercise's options.

In this case you can identify that the only equation that has the form [tex]y=kx[/tex] explained before, is the first one:

[tex]y=14x[/tex]

And the Constant of proportionality is:

[tex]k=14[/tex]