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Let's denote the first point (-3,5) as
)
. In other words,

and
Now let's denote the second point (3,-2) as
)
. In other words,

and
-------------------------

Start with the slope formula

Plug in

,

,

,

Subtract the terms in the numerator

to get

. Subtract the terms in the denominator

to get
---------------------
Answer:
So the slope of the line through the points (-3,5) and (3,-2) is