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WITCHER [35]
3 years ago
13

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

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
6 0

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


kodGreya [7K]3 years ago
3 0

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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