A line y= k x, represents a direct variation if , \(k=\frac{y}{x}\)
As,line passes through (-4,3) and (4,3).
Equation of line passing through two points is,
\(\frac{y-3}{x+4}=\frac{3-3}{4+4}\\\\ y-3=0\)
Given by the formula: \(\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
As, the line does not pass through origin , so the line passing through (-4,3) and (4,3) does not represent direct variation.
Option (C)=The line does not represent a direct variation because it does not go through the origin.
