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The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?​

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xero099

Answer:

The equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Step-by-step explanation:

Given that point [tex](x,y) = (6, 21)[/tex] is part of a direct relationship. That is:

[tex]y \propto x[/tex]

[tex]y = k\cdot x[/tex] (1)

Where [tex]k[/tex] is the proportionality constant.

If we know that [tex]x = 6[/tex] and [tex]y = 21[/tex], then the proportionality constant is:

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{21}{6}[/tex]

[tex]k = \frac{7}{2}[/tex]

Lastly, the equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

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