Answer :
Answer:
y = -(2/3)x + 2
Step-by-step explanation:
Perpendicular lines have slopes that are opposite reciprocals of each other. That means you take the slope, flip the fraction, and change the sign.
Here our given line is y = (3/2)x - 6 so the slope 5/9
The opposite reciprocal of 3/2 is -2/3
We set up the equation
y = -(2/3)x + b
we are given a point (x, y) of (9, -4), so plug that in and solve for b
-4 = -(2/3)(9) + b
-4 = -6 + b
2 = b
So our equation is y = -(2/3)x + 2