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.

And please explain how you did this so I know how to do it :)

Answer 1

`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
`k=(y)/(x)` 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 the point (20,4)

Find the value of the constant of proportionality k

For x=20, y=4

`k=(y)/(x)`

substitute

`k=(4)/(20)`

simplify

`k=(1)/(5)`

The equation is equal to

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