SOLUTION: what is the exact distance between line 6x-y=3 and the point (6,2)

Algebra ->  Points-lines-and-rays -> SOLUTION: what is the exact distance between line 6x-y=3 and the point (6,2)      Log On


   

Question 1151624: what is the exact distance between line 6x-y=3 and the point (6,2)
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

The exact (perpendicular) distance from the point (x1,y1)
to the line Ax+By+C=0 is



In your case,  Ax+By+C=0 is 6x-y-3=0 and the point (x1,y1) is (6,2).

Happy substituting and simplifying!

Edwin

Answer by ikleyn(52809) About Me  (Show Source):
You can put this solution on YOUR website!
.

Regarding this magic formula for the distance from a given line to a given point in a coordinate plane,  see the lessons
    - The distance from a point to a straight line in a coordinate plane
    - HOW TO calculate the distance from a point to a straight line in a coordinate plane
in this site.

From these lessons,  you can also learn on how to derive this magic formula  (it is important to know it (!) )
and how to use it,  looking into numerous examples.