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# coordinate geometry watch

1. I need to work out what co-ordinate a point takes this point is expressed by
(4,6) +1.41 units along the line y=-x+10 with x descending

I hope my explanation makes sense
2. It's (3, 7) if 1.41 = rt(2)
3. (Original post by BCHL85)
It's (3, 7) if 1.41 = rt(2)
of course, sorry i just didnt see it,

can i just check something,
if the line was y=2x+2 and i needed to see where a line 5 units long from the point (1,4) finished. would I do th e following
5²=25
25/3=8.333 etc
8.333*2=16.66666
√8.333 and √16.666 to give the relative additions to to the coordinate (1,4)
4. can someone confirm that the technique I have used in the previous post is correct
5. y = 2x+2
5 units from (1,4)
(1+k, 4+2k) is the required point.
Also k² + (2k)² = 5² (pythagoras)
k = ±√5
So the required point is (1±√5, 4±2√5)

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