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What is the shortest distance from the point (6, 0) to the line y = 2x  + 8? Express your answer in simplest radical form.

 Sep 12, 2021
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There is an equation to find this sort of thing......but most people do not remember it....here is another way:

 

Find the equation of the line that is perpindicular to y = 2x+8    that contains the point   (6,0)

    (HINT:   Perindicular slope = - 1/2 )

 

 

then equate the two line equations to find the x coordinate of the point of intersection

   then use that x coordinate in either of the line equations to find the y coordinate of the point of intersection

 

THEN, use the distance formula to find the distance between this point of intersection and the point (6,0) ...

    See what you can do !   cheeky

 Sep 12, 2021

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