document.write( "Question 1203786: Find the point (𝑥,𝑦)
\n" ); document.write( " on the line 𝑦=𝑥
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Algebra.Com's Answer #839623 by mananth(16946)\"\" \"About 
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Find the point (𝑥,𝑦)
\n" ); document.write( "on the line 𝑦=𝑥
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\n" ); document.write( "and B(−4,6)\r
\n" ); document.write( "\n" ); document.write( "The distance between two points (x₁, y₁) and (x₂, y₂) is given by:\r
\n" ); document.write( "\n" ); document.write( "\"Distance+=+sqrt%28%28x1-x2%29%5E2+%2B+%28y1+-+y2%29%5E2%29\"
\n" ); document.write( "Square both sides andplug the given values\r
\n" ); document.write( "\n" ); document.write( "(x+4)^2+(y-6)^2= (x-10)^2+(y+10)^2\r
\n" ); document.write( "\n" ); document.write( "expand\r
\n" ); document.write( "\n" ); document.write( "x^2+8x+16 +y^2-12y+36 = x^2-20x+100 +y^2+20y+100\r
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\n" ); document.write( "\n" ); document.write( "8x+16-12y+36 = -20x +100+20y+100
\n" ); document.write( "combine like terms\r
\n" ); document.write( "\n" ); document.write( "28x-32y =148 but x=y\r
\n" ); document.write( "\n" ); document.write( "-4x = 148\r
\n" ); document.write( "\n" ); document.write( "x=37 ---> y=37\r
\n" ); document.write( "\n" ); document.write( "(37,37)\r
\n" ); document.write( "\n" ); document.write( "point (x, y) that is equidistant from the points (10, -10) and (-4, 6) is indeed (37, 37).\r
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