Question

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

Answer 1

`Constant\ of\ proportionality=(3)/(2)`

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:

`(6)/(4)=k\\\\k=(3)/(2)`