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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

Verified Answer :

calculista

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:

\(y = \frac{1}{5}x\)

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:

\(y = \frac{1}{5}x\)

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