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].
