Asked by Z32

Find the point on the line -5sx+y+3=0 which is the closest to the point (2, 5)

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Answered by Reiny
-5sx ???
check you typing.
If s is a variable I could simply sub (2,5) into the equation and solve for s, making (2,5) the "closest"

By changing s, I would be changing the slope of the given line, resulting in different answers depending on the value of s

Once you decide on the correct first term,
1. find the slope of the given line
2. form the opposite reciprocal to have the slope of the perpendicular from (2,5) to the given line
3. find the equation of that perpendicular line
4. solve the two equations for the closest point.
Answered by gnozahs
Oh, the s is not supposed to be there.
Answered by Reiny
ok, then just follow the 4 steps I outlined for you above.
Let me know what you got.
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