book Maths Puzzle Numerical Ability

how do you tell with an equation if a line is parallel or perpendicular?

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book Other Question

Solve. Explain your steps as you solve.
-2x-5=3x^2
Thanks
Solve the equasions x+4=-1: 5b=-25: 3x+4=13: 5(x-2)=15: x+8=3(x-4)i tried 4+1=5is it right