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How to find a point along a line a certain distance away from another point

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Hi,
I have a line between two points : P1 = (x1,y1) and P2= (x2,y2). I have linear function equation : y = ax + b I want to extend a line a distance about 10 from P1 and P2 (in each direction left and right -) I need to find new points P3 and P4 on this line. I don"t have any idea how to move point a distance on the line ?
I would be appreciate for any help please.
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Adam
Adam am 2 Feb. 2017
Sounds like a question you should work out on paper before you do it in Matlab if you aren't familiar with the maths itself.

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KSSV
KSSV am 2 Feb. 2017

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