Question

The graph of a proportional relationship contains the point (20, 4).

What is the corresponding equation?
Enter your answer as a fraction in simplest form in the box.

y =  x

Answer 1

`y = (1)/(5)x`

Explanation:

Direct proportionality states:

if
`y \propto x`

then, the equation is in the form of:

`y = kx` ......[1] where, k is the constant of proportionality.

As per the statement:

The graph of a proportional relationship contains the point (20, 4).

Substitute these point in [1] we have;

`4 = 20x`

Divide both sides by 20 we have;

`(1)/(5) = k`

or

`k=(1)/(5)`

Therefore, the corresponding equation is:

`y = (1)/(5)x`

Answer 2

`y=(1)/(5)x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

`point (20,4)`

Substitute the values and solve for k

`k=y/x`

`k=(4)/(20) =(1)/(5)`

therefore

the equation of the line is equal to

`y=(1)/(5)x`