Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P(- 4, 2) and (x₂, y₂ ) = Q(4, - 4)
m =
=
= - 

has characteristic equation

with roots at
. Then the characteristic solution is

For the particular solution, consider the ansatz
, whose first and second derivatives vanish. Substitute
and its derivatives into the equation:

Then the general solution to the equation is

With
, we have

and with
,

Then the particular solution to the equation is
