Question

Can you guys help me please? It's math...;-;

Answer 1

Answer:

$Constant\ of\ proportionality=\frac{3}{2}$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

The graph of a Direct proportional relationship is a straight line that passes through the origin.

In this case you need to pick any point on the line given in the picture. You can choose the following point:

$(4,6)$

So, you can identify that:

$x=4\\y=6$

Knowing that, you must substitute these values into the equation $y=kx$:

$6=k(4)$

And finally, you need to solve for "k" in order to find its value. You get that this is:

$\frac{6}{4}=k\\\\k=\frac{3}{2}$