document.write( "Question 1165878: hey, i need help for this :) Find the point (𝑥,𝑦) on the line 𝑦=𝑥 that is equidistant from the points (6,8) and (8,0). Can you show me the steps too please, Thank you.
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Algebra.Com's Answer #790340 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Such point on the line y=x means that vertical and horizontal coordinates are equal. Distance Formula could help.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-6%29%5E2%2B%28y-8%29%5E2=%28x-8%29%5E2%2B%28y-0%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-6%29%5E2%2B%28y-8%29%5E2=%28x-8%29%5E2%2By%5E2\"\r
\n" ); document.write( "\n" ); document.write( "and x and y values on that line to be equal,\r
\n" ); document.write( "\n" ); document.write( "\"%28x-6%29%5E2%2B%28x-8%29%5E2=%28x-8%29%5E2%2Bx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-6%29%5E2=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-12x%2B36-x%5E2=0\"\r
\n" ); document.write( "\n" ); document.write( "\"36-12x=0\"\r
\n" ); document.write( "\n" ); document.write( "\"3-x=0\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=3%29\"--------------and same coordinate value as the one for y.
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