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Determine the shortest distance from the point H(5, 2) to the line through points J(-6, 4) and K(-2, -4). (I got 10 units but the answer in the textbook says something different, and I'm confused as to how they got it)

 Nov 25, 2016
edited by Guest  Nov 25, 2016
edited by Guest  Nov 25, 2016
 #1
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"Determine the shortest distance from the point H(5, 2) to the line through points J(-6, 4) and K(-2, -4)"

 

I get the following:

.

 Nov 26, 2016
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Intersection is at x = -3 Alan.

 Nov 26, 2016
 #3
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Oops!  Careless of me.  Thank you Guest.

 

With x = -3, then y = -2, so the distance between (5,2) and (-3,-2) is:

 

\(\sqrt{(-2-2)^2+(-3-5)^2}\rightarrow4\sqrt5\)

Alan  Nov 26, 2016

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