exam Maths Puzzle Numerical Ability

Given just the slop of two lines, how can I tell if they lines are perpendicular? Parallel?

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how would this be solved :

1)Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8).
solve each systems of equations algebraically
28. {2x+4y=10}
{3x-4y=-15}