exam Maths Puzzle Numerical Ability

find the equation of the line perpendicular to the line x=4 and passing through the point (4,2).

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Please help I have been trying to figure this problem out but am unable to even get started

-9x+2y=2
+6x+8y=-6
Given a hyperbola, what happens to:
X when Y gets larger?
Y when X gets larger?