Question

a direct variation function contains the points ( -8, -6 ) and (12,9 ) . Which equation represents the function ?

Answer 1

y =
`(3)/(4)` x

Explanation:

Given that the quantities vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (12, 9), that is x = 12 when y = 9, then

k =
`(y)/(x)` =
`(9)/(12)` =
`(3)/(4)`

y =
`(3)/(4)` x ← equation of variation