Answer:
y = -3/2 x -3
Explanation:
Perpendicular slopes are the opposite reciprocals.
The new slope will be -3/2
m = -3/2
x = 2 Given in the point (2,-6)
y = -6 Given in the point (2,-6)
Substitute these in to y = mx + b and solve for b
-6 = (-3/2)(2) + b
-6 = -3 + b Add 3 to both sides
-6 + 3 = -3 + 3 + b
-3 = b
We know have the m (-3/2) and the b (-3) to write the equation
y = mx + b
y = -3/2 x -3