SOLUTION: How far is the point (4,1) from the line y= -2x+3?

Question 1128794: How far is the point (4,1) from the line y= -2x+3?
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.

Use the general formula:


    the distance from the point (p,q) to a straight line ax + by + c = 0  is

              d = .



Regarding this formula, see the lesson  The distance from a point to a straight line in a coordinate plane  in this site.


In your case, the equation of the straight line is 2x + y - 3 = 0, so the distance is

    d =  =  =  ~ 1.897367 (approximately).

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