document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296324>Question 296324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok, I need help solving this equation and then graphing it, i am confused by this.\r<BR>\n" );
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document.write( "Perpendicular to x + 2y = 10, and passing through the point (1,1)\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Holly </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213546 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=213546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By \"solving\" you must mean...\"Find the equation of the line that is perpendicular to x+2y = 10 and passing through the point (1, 1)\".<BR>\n" );
document.write( "First, let's find the slope of the given line x+2y =10.<BR>\n" );
document.write( "Rewrite this equation in slope-intercept form: y = mx+b, where m is the slope and b is the y-intercept..<BR>\n" );
document.write( "x+2y = 10 Subtract x from both sides.<BR>\n" );
document.write( "2y = -x+10 Now divide both sides by 2.<BR>\n" );
document.write( "y = (-1/2)x+5 Comparing this with...<BR>\n" );
document.write( "y = mx+b you can see that the slope, m, of the given line is:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-1%2F2 ALIGN=MIDDLE  ALT=\"m+=+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now lines that are perpendicular to each other will have slopes that are the negative reciprocal. So if the slope of the given line is,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-1%2F2 ALIGN=MIDDLE  ALT=\"m+=+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the slope of any line perpendicular to it is, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-1%2F%28%28-1%2F2%29%29 ALIGN=MIDDLE  ALT=\"m+=+-1%2F%28%28-1%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+2 ALIGN=MIDDLE  ALT=\"m+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so now you can start your answer with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x%2Bb ALIGN=MIDDLE  ALT=\"y+=+2x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you need to find the value of b, the y-intercept.  You do this by substituting the x- and y-coordinates from the given point (1, 1) into this equation. Substituting x = 1 and y = 1 you get...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+2%281%29%2Bb ALIGN=MIDDLE  ALT=\"1+=+2%281%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-1 ALIGN=MIDDLE  ALT=\"b+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can write the final equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+2x-1%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+2x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The graph of this equation will look like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x-1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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