document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348674>Question 348674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The line passing through (5,y) and (1,0) is parallel to the line joining (2,3) and (-2,1). Find y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249258 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=249258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "re your reply: \" but don't understand the part about x has increased by 4 resulting in y=2?<BR>\n" );
document.write( "The Slope tells us the relationship of the points on the line.<BR>\n" );
document.write( "In this case slope = 1/2  The graph of that line with point (1,0)looks like this. Note: y increases by 1, x increases by 2 (that's what the slope tells us)<BR>\n" );
document.write( "(1,0), (3,1) and (5,2) are all points on the line. For Pt(5,y) y = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C10%2C-2%2C10%2Cgrid%281%29%2C%0D%0Acircle%281%2C+0%2C0.2%29%2C%0D%0Acircle%283%2C+1%2C0.2%29%2C%0D%0Acircle%285%2C+2%2C0.2%29%2C%0D%0Agraph%28300%2C300%2C-2%2C10%2C-2%2C10%2Cx%2F2-1%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hi, <BR>\n" );
document.write( "Note: Fist find the slope of the line it is parallel to using the two points (2,3) (-2,1) and the point-slope formula: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29+ ALIGN=MIDDLE  ALT=\"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=%281+-+3%29%2F%28-2+-+2%29+ ALIGN=MIDDLE  ALT=\"m+=%281+-+3%29%2F%28-2+-+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-2%29%2F-4+ ALIGN=MIDDLE  ALT=\"m+=+%28-2%29%2F-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = (1/2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Slope tells us: as y increases by 1, x increases by 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Parallel lines have the same slope<BR>\n" );
document.write( "Points (5,y) and (1,0) on the line parallel<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(points show x has increased by 4)<BR>\n" );
document.write( "y = 2 </SPAN>\n" );
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