True or False? Y varies directly with x and y = -9 when x = 3. When y = 27, the value of x is 9.

Question

anonymous · Answer

for direct variation y = kx or y/x = k

This means that for direct variation the ratio y/x is always the same for all pairs of x,y
        y1             y2 
so ------ = ------
         x1            x2
             y1           -9
here ------ = ----- = -3
             x1             3
            y2            27
and ------ = ------ = 3
            x2              9
 
               y1                              y2 
since  ------ not equal to  ------
               x1                              x2

so answer is FALSE