Question 306870
Perpendicular lines have slopes that are negative reciprocals of each other.


The original line has a slope of m=2/3, so a line perpendicular to it will have a slope of m=-3/2


You know that the second line passes through (-6,5), so this tells us that x=-6, and y=5. Use y=mx+b, the equation of a line, to solve for b:


y=mx+b
5=(-3/2)(-6) + b
5 = 18/2 + b
5 = 9 + b
b = -4


The equation of the perpendicular line is y=(-3/2)x -4