Question

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

Answer 1

Answer:

$y=\frac{1}{5}x$

Step-by-step 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

$k=y/x$

$k=\frac{4}{20} =\frac{1}{5}$

therefore

the equation of the line is equal to

$y=\frac{1}{5}x$

Answer 2

Answer:

$y = \frac{1}{5}x$

Step-by-step 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;

$\frac{1}{5} = k$

or

$k=\frac{1}{5}$

Therefore, the corresponding equation is:

$y = \frac{1}{5}x$