Question

What is the constant of variation, k, of the direct variation, y=kx, through (5,8)

Answer 1

y = kx.  If the graph of this line goes thru (5,8), then    8 = k(5), or k = 8/5 (ans)

Answer 2

The constant of variation is
`(8)/(5)`

Explanation:

In order to find the constant of variation we have:

`y=kx`

Therefore

`k=(y)/(x)`

Now, we have the point (5,8); its coordinates are:

`(x,y) = (5,8)`

Therefore:

`x=5\\y=8`

Replacing values:

`k=(y)/(x)=(8)/(5)`