SOLUTION: Find the coordinates of the points that are 3.5 units from (2,-5) and that are on the line x=3

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Question 982781: Find the coordinates of the points that are 3.5 units from (2,-5) and that are on the line x=3
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The line is a variable point (3,y).

Use the distance formula for the two points (3,y) and (2,-5).
sqrt%28%283-2%29%5E2%2B%28y-%28-5%29%29%5E2%29=3.5

sqrt%281%2B%28y%2B5%29%5E2%29=3.5
1%2B%28y%2B5%29%5E2=12.25
%28y%2B5%29%5E2=11.25-----NOT necessary to multiply the squared binomial

y%2B5=0%2B-+sqrt%2811.25%29

highlight%28y=-5%2B-+sqrt%2811.25%29%29-------The two possible y-coordinates; you could put into simplest radical form if needed