book Maths Puzzle Numerical Ability

find the equation of the line perpendicular to line "b" and passing throught the point (4, -7).

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I am not certain of the steps for this;
ar^2 - brs + ars - br^2 = ar^2 + ars - brs - br^2

Thanks,
ttsj
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Problem:
Jon and Lauren have a combined income of 48,000. Lauren earns 3,000 more than half of what Jon earns. How much does each earn?