document.write( "Question 775724: Find all points on the y-axis (that is, having coordinates (0,y), where y is to be determined) that are 6 units distant from the point (4, -3). Thank you in advance \n" ); document.write( "
Algebra.Com's Answer #473102 by psbhowmick(878)\"\" \"About 
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Let a point on y-axis whose distance from (4,-3) is 6 units be having coordinates (0,k).\r
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\n" ); document.write( "\n" ); document.write( "The distance between these two points must be 6 units.\r
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\n" ); document.write( "\n" ); document.write( "\"%284+-+0%29%5E2+%2B+%28-3+-+k%29%5E2+=+6%5E2\"
\n" ); document.write( "\"4%5E2+%2B+%28k%2B3%29%5E2+=+6%5E2\"
\n" ); document.write( "\"16+%2B+%28k%2B3%29%5E2+=+36\"
\n" ); document.write( "\"%28k%2B3%29%5E2=20\"
\n" ); document.write( "\"k%2B3=+0%2B-+2%2Asqrt%285%29\"
\n" ); document.write( "\"k+=+-3+%2B-+2%2Asqrt%285%29\"\r
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\n" ); document.write( "\n" ); document.write( "Therefore there are two such points: (\"0\",\"-3+%2B+2%2Asqrt%285%29\") and (\"0\",\"-3+-+2%2Asqrt%285%29\")
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