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Straight Line Spin

Age 11 to 14 Short Challenge Level:

Answer 


Geometrically:


The lines are perpendicular, so the new line slopes downwards at $45^\circ$, so its gradient is $-1$

It passes through $(1,1)$ so it also passes through $(0,2)$

Equation $y=-x+2$



This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.