Question

the graph of a proportional relationship passes through (6,21). what is the equation for the relationship?

Answer 1

The equation for the relationship is
`y=(7)/(2) * x`.

Explanation:

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

`y \ \infty \ x`

`y=k* x` (1)

Where
`k` is the proportionality constant.

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

`k=(y)/(x)`

`k=(21)/(6)`

`k=(7)/(2)`

Lastly, the equation for the relationship is
`y=(7)/(2) * x`.