Answered

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The graph of a proportional relationship contains the point (8,4). What is the corresponding equation? Enter your answer as a fraction in simplest form by filling in the boxes.


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The Graph Of A Proportional Relationship Contains The Point 84 What Is The Corresponding Equation Enter Your Answer As A Fraction In Simplest Form By Filling In class=

Sagot :

Given:

The graph of a proportional relationship contains the point (8,4).

To find:

The corresponding equation.

Solution:

If y in directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]        ...(i)

Where, k is the constant of proportionality.

The graph of a proportional relationship contains the point (8,4).

Putting x=8 and y=4 in (i), we get

[tex]4=k(8)[/tex]

[tex]\dfrac{4}{8}=k[/tex]

[tex]\dfrac{1}{2}=k[/tex]

Putting [tex]k=\dfrac{1}{2}[/tex] in (i), we get

[tex]y=\dfrac{1}{2}x[/tex]

Therefore, the required equation is [tex]y=\dfrac{1}{2}x[/tex].

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