exam Maths Puzzle Numerical Ability

Good Evening,
What is the slope of any line that is perpendicular to the line through (-3,5) and (4,-6)?
Thank you.

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exam Other Question

use graphing to find the solutions of the system
y-x=6
y+2x=-6 the problem states:

for which numbers x, 0<=x<2pi, are teh following functions NOT defined?

9. tan x

i dont understand
can you help
with step by step explaination?