document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166991>Question 166991</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073309613/algebrahomeworkh>elementary &intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A line passing through(2,3) and (5,y) is perpendicular to a line with a slope 3/4. What is the value of y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123009 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=123009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "(2,3) and (5,y); perpendicular to a line w/ slope=3/4<BR>\n" );
document.write( "Via Point-Slope form: <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( "But remember, since it's perpendicular, the slope for above points: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=-1%2Fm%5B1%5D ALIGN=MIDDLE  ALT=\"m%5B2%5D=-1%2Fm%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=-1%2F%283%2F4%29=-4%2F3 ALIGN=MIDDLE  ALT=\"m%5B2%5D=-1%2F%283%2F4%29=-4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subst.,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F3=%28y%5B2%5D-3%29%2F%285-2%29 ALIGN=MIDDLE  ALT=\"-4%2F3=%28y%5B2%5D-3%29%2F%285-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F3=%28y%5B2%5D-3%29%2F3 ALIGN=MIDDLE  ALT=\"-4%2F3=%28y%5B2%5D-3%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, cross multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D-3=%28-4%2F3%29%283%29=cross%28-12%294%2Fcross%283%29 ALIGN=MIDDLE  ALT=\"y%5B2%5D-3=%28-4%2F3%29%283%29=cross%28-12%294%2Fcross%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D=-4%2B3=-1 ALIGN=MIDDLE  ALT=\"y%5B2%5D=-4%2B3=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y%5B2%5D=-1%29 ALIGN=MIDDLE  ALT=\"highlight%28y%5B2%5D=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Answer<BR>\n" );
document.write( "We'll check the graph but first let's get the y-intercept:<BR>\n" );
document.write( "Via Slope-Intercept: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thru points: (5,-1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=%28-4%2F3%29%285%29%2Bb ALIGN=MIDDLE  ALT=\"-1=%28-4%2F3%29%285%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=%28-20%2F3%29%2Bb ALIGN=MIDDLE  ALT=\"-1=%28-20%2F3%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%28-1%29%2B%2820%2F3%29=%28-3%2B20%29%2F3 ALIGN=MIDDLE  ALT=\"b=%28-1%29%2B%2820%2F3%29=%28-3%2B20%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=17%2F3 ALIGN=MIDDLE  ALT=\"b=17%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > y intercept<BR>\n" );
document.write( "let's see the graph,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-8%2C8%2C-8%2C10%2Cgrid%281%29%2Cgraph%28300%2C300%2C-8%2C8%2C-8%2C10%2C%28-4%2F3%29x%2B%2817%2F3%29%29%2Ccircle%285%2C-1%2C.2%29%2Ccircle%282%2C3%2C.2%29%2Ccircle%280%2C17%2F3%2C.25%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > --it passes thru  points(2,3)(5,-1), see also y-intercept @ (17/3)<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre><BR>\n" );
document.write( " </SPAN>\n" );
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