Question

How do you find the constant of variation, and write an equation of direct variation that relates the two variables y= -10, for x=2?

Answer 1

If `y` and `x` are in direct variation then
`y = c*x`
where `c` is the constant of variation

Given the pair `(x,y) = (2,-10)`
we have
`(-10) = c* (2)`
`rarr c = (-5)`

and the corresponding equation of direct variation would be
`y = -5x`