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

y = –negative StartFraction 4 Over 3 EndFraction equals StartFraction 4 Over 3 EndFractionx
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

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

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":

Thus, the function is given by:

y = \frac {3} {4} x

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