Question

Which equation represents a proportional relationship?

Answer 1

Answer: First option.

Step-by-step explanation:

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

$y=mx$

Where "m" is the slope of the line.

By definition, Proportional relationships have this form:

$y=kx$

Where "k" is the  Constant of proportionality.

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

$m=k$

Observe the equations provided in the exercise's options.

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

$y=14x$

And the Constant of proportionality is:

$k=14$