Question

The ordered pairs (-1,2) and (4,y) are for the same direct variation, how do you find each missing value?

Answer 1

`(4,y)to(4,-8)`

Explanation:

`"the initial statement is "ypropx`

`"to convert to an equation multiply by k the constant"`
`"of variation"`

`rArry=kx`

`"to find k use the given condition"`

`(-1,2)tox=-1,y=2`

`y=kxrArrk=y/x=2/(-1)=-2`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-2x)color(white)(2/2)|)))`

`"when "x=4" then"`

`y=-2xx-4=-8`

`rArr(4,y)to(4,-8)`