how can u show that two objects are proportional using a graph
You can show that (y) is proportional to (x) by writing:
\(y\propto x\)
This would mean that:
\(y=kx\)
Whereby (k) would be the constant of proportionality.
This value can be an element of a real number.
k∈R
What are real numbers?
Integers, rational numbers and irrational numbers.
Example of a graph which would show that 2 objects are proportional:
y=2x
There is a directly proportional relationship, and an indirect proportional relationships.
A directly proportional relationship graph will always be a linear line.
The graph of a indirectly proportional will be a curve.
Directly proportional equation: y = kx
Indirectly proportional equation: xy = k
where k is the constant of proportionality.
I have attached a graph of them so you can better understand it :)