document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988589>Question 988589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HI, this question is from my textbook.<BR>\n" );
document.write( "The equations of two sides of a square are y=3x-1 and x+3y-6=0. (0,-1) is one vertex of the square. Find the coordinates of the other vertices. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609123 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=609123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equations of two sides of a square are y=3x-1 and x+3y-6=0. (0,-1) is one vertex of the square. Find the coordinates of the other vertices.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "(0,-1) is point A.<BR>\n" );
document.write( "Find the intersection of the lines, that's a 2nd vertex, point B.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y=3x-1<BR>\n" );
document.write( "x+3y-6=0 --> y = (-1/3)x + 2<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "x + 3(3x-1) = 6<BR>\n" );
document.write( "10x = 9<BR>\n" );
document.write( "x = 0.9, y = 1.7 --> B(0.9,1.7)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "The distance between the 2 points is the side length.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%282.7%5E2+%2B+0.9%5E2%29 ALIGN=MIDDLE  ALT=\"s+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%282.7%5E2+%2B+0.9%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+sqrt%288.1%29+=+9sqrt%2810%29%2F10 ALIGN=MIDDLE  ALT=\"s+=+sqrt%288.1%29+=+9sqrt%2810%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Find the line thru A(0,-1) parallel to x+3y-6=0<BR>\n" );
document.write( "--> y = (-1/3)x - 1<BR>\n" );
document.write( "A vertex (point D) is on this line distance s from point A.<BR>\n" );
document.write( "The x-distance from A to D is 2.7, and the y-distance is 0.9<BR>\n" );
document.write( "--> D (-2.7,-0.1)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The side CD goes thru D with a slope of 3 (parallel to AB)<BR>\n" );
document.write( "y + 0.1 = 3(x + 2.7)<BR>\n" );
document.write( "y = 3x + 8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Vertex C is the intersection of y = 3x + 8 and y = (-1/3)x + 2<BR>\n" );
document.write( "3x + 8 = -x/3 + 2<BR>\n" );
document.write( "10x/3 = -6<BR>\n" );
document.write( "x = -1.8, y = 2.6<BR>\n" );
document.write( "C(-1.8,2.6)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );