Answer:
k = 9.
Explanation:
2x + 3y -8=0
3y = -2x + 8
y = -2/3 x + 8/3
So the slope of this line is -2/3.
Therefore the slope of a line perpendicular to the above is -1 /-2/3
= 3/2.
kx - 6y = 9
6y = kx - 9
y = k/6x - 3/2
But the slope is 3/2,
So k/6 = 3/2
2k = 18
k = 9.