Question

How do you find the variation constant and an equation of variation where y varies directly as x and y=-2 when x=14?

Answer 1

Equation of Variation: `y = (-1/7)x`

Explanation:

Direction Variation: `y = kx`

If `y = -2` when `x = 14`,
`y = kx`
`-2 = k(14)`
`k = -2/14 = -1/7`

So Equation of Variation: `y = (-1/7)x`