Answer:
y = -3/2x - 1
Step-by-step explanation:
this line 2x-3y=9 can be rewritten as
y = 2/3x - 3
The slope of this line is 2/3
If two lines are perpendicular, then their slopes satisfy condition
m1 . m2 = -1
Thus, the slope of the needed line is
m = -3/2
The equation of the line passing through the point (2,-4) and perpendicular to the line 2x-3y=9 is
y + 4 = 3/2 (x - 2)
y = -3/2 x - 1
