document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=751485>Question 751485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given: point Q(-2,3) midpoint M(-3,-1) point P(x,y)\r<BR>\n" );
document.write( "\n" );
document.write( "Find coordinates of the point P using a formula, check with graph and then find y-coordinates equal to 1 that are a distance of sqrt 6 from the point Q </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457233 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=457233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  given: point Q(-2,3) midpoint M(-3,-1) point P(x,y) <BR>\n" );
document.write( "Find coordinates of the point P using a formula<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x+-2)/2 = -3<BR>\n" );
document.write( "x-2 = -6<BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(y+3)/2 = -1<BR>\n" );
document.write( "y+3 = -2<BR>\n" );
document.write( "y = -5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(x,y) = P(-4,-5)<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "check with graph<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "find y-coordinates equal to 1 that are a distance of sqrt 6 <BR>\n" );
document.write( "from the point Q(-2,3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Find \"x\" where (x,1) are at distance sqrt(6) from Q(-2,3)<BR>\n" );
document.write( "sqrt[(x+2)^2 + (1-3)^2] = sqrt(6)<BR>\n" );
document.write( "(x+2)^2 + 4 = 6<BR>\n" );
document.write( "(x+2)^2 = 2<BR>\n" );
document.write( "x+2 = sqrt(2) or x+2 = -sqrt(2)<BR>\n" );
document.write( "x = -2+sqrt(2) or x = -2-sqrt(2)<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );