Question

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

Answer 1

Answer:

The equation for the relationship is $y = \frac{7}{2}\cdot x$.

Step-by-step explanation:

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

$y \propto x$

$y = k\cdot x$ (1)

Where $k$ is the proportionality constant.

If we know that $x = 6$ and $y = 21$, then the proportionality constant is:

$k = \frac{y}{x}$

$k = \frac{21}{6}$

$k = \frac{7}{2}$

Lastly, the equation for the relationship is $y = \frac{7}{2}\cdot x$.