exam Maths Puzzle Numerical Ability


FIND AN EQUATION FOR THE LINE WITH y-INTERCEPT 3 THAT IS PERPENDICULAR TO THE LINE Y= 2/3x-4.

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How do I work this problem?
Give the equation of the horizontal asymptote of the following rational function:

f(x)= x^2+x-6/x-4

Thank you.
State the common ratio and determine the next three terms for the geometric sequence 2, -8, 32, -128
Common ratio = (-4)
Next three terms = 512, -2,048, 8,192
Thank you in advance.