Question

A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function? y = –k equals negative StartFraction 4 Over 3 EndFraction x.x y = –k equals negative StartFraction 3 Over 4 EndFraction x.x y = k equals StartFraction 3 Over 4 EndFraction x.x y = k equals StartFraction 4 Over 3 EndFraction x.x

Answer 1

cccccccccccc

Explanation:

Answer 2

For this case we have that by definition, a direct variation is of the form:

`y = kx`

Where "k" is the constant of proportionality

If the following points belong to the variation (-8, -6) and (12,9) then we have to replace one of the points we find the value of "k":

`-6 = k (-8)\\\frac {-6} {- 8} = k\\k = \frac {6} {8} = \frac {3} {4}`

Thus, the function is given by:

`y = \frac {3} {4} x`

ANswer:

`y = \frac {3} {4} x`