Question

The values of x and y are directly and one pair of values are given.

write an equation that relates x and y. simplify completely.
x= -4, y =6

Answer 1

The relation is
`y = -1.5x`

Explanation:

x and y are directly proportional:

This means that the equation is given by:

`y = ax`

In which a is the multiplier that relates these two variables.

x= -4, y =6

We use this to find a. So

`y = ax`

`6 = -4a`

`a = -frac{6}{4}`

`a = -1.5`

So

The relation is
`y = -1.5x`