Question

In a proportional relationship why must the graph of the line always go through the origin (0,0)? explain?

Answer 1

Answer:

We know that, two quantities are proportional when they vary directly with each other.

i.e. quantities x and y are proportional when they have the relation y = kx, where k is any constant called constant of proportionality.

Since, the quantities are in relation y = kx.

So, for x = 0 we get that the value of y = 0.

As, the point ( 0,0 ) satisfies this relation i.e. it is a solution of y =  kx.

Hence, in proportional relationship, the graph will pass through ( 0,0 ).