Let's find the slope of the line through the two given points. Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (5 - (-3))/(-3 - (-6))
m = (5 + 3)/(-3 + 6)
m = 8/3
The slope of the line through the two points is 8/3. This is not equal to the other slope of 8/9, so the two lines are not parallel.
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Multiply the two slopes together. If you get -1, then the lines are perpendicular.
(slope1)*(slope2) = (8/9)*(8/3) = (8*8)/(9*3) = 64/27 = 2.37 approximately
The result is not -1, so the lines are not perpendicular.
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Final Answer: Neither