Question

A direct variation function contains the points (-8,-6) and (12,9) which equation represents the function

Answer 1

y = 0.75x

Explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k substitute either of the 2 points into the equation

Using (12, 9 ), then

k =
`(y)/(x)` =
`(9)/(12)` = 0.75, so

y = 0.75x ← equation of variation