exam Maths Puzzle Numerical Ability

the quadrilateral with vertices P(6,3), Q(2,-2), R(1,7) and S(x,y) is a parallelogram. Find (x,y) algebraically.

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exam Other Question

I know this might not be the right type of problem but i guessed.

how many solutions does the system have? 2x-3y = 11
6x-9y = 33

a. 0
b. 1
c. 2
d. infinite
Identify whether the parabola y=-(x-3)^2 +6 opens up or down and identify the vertex, x-intercepts and y-intercepts. I know it opens down but, I am not sure how to identify the intercepts or vertex (3,6)?