To lines are perpendicular when the product of their slopes is equal to -1.
Then, m1*m2 = -1
Now, we need to find the slope of any line perpendicular to the line 8x+9y=3
First, get the slope-intercept form y=mx+b
Solve for y:
8x+9y=3
9y=-8x+3
y= -8x/9 + 3/9
The slope m1 = -8x/9
Then,
(-8x/9)m2 = -1
Solve for m2:
-8*m2 = -1*9
-8*m2 = 9
m2 = -9/-8
m2 = 9/8
Hence, the correct answer is option a.