document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201322>Question 201322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line satisfying the given conditions.\r<BR>\n" );
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document.write( "Through (-4,3); perpendicular to -8x+5y=77 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151550 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=151550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall that if two lines are perpendicular, then their slopes are the negative reciprocal of each other, that is: <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( "Let's find the slope of the given line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x%2B5y+=+77 ALIGN=MIDDLE  ALT=\"-8x%2B5y+=+77\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this equation for y so that you have it in the slope-intercept form: <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;\" >.  Add 8x to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+8x%2B77 ALIGN=MIDDLE  ALT=\"5y+=+8x%2B77\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%288%2F5%29x+%2B+77%2F5 ALIGN=MIDDLE  ALT=\"y+=+%288%2F5%29x+%2B+77%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Compare this with:<BR>\n" );
document.write( "<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;\" > and you can see that the slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D+=+8%2F5 ALIGN=MIDDLE  ALT=\"m%5B1%5D+=+8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The negative reciprocal of m is:<BR>\n" );
document.write( "<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+=+-%281%29%2F%288%2F5%29 ALIGN=MIDDLE  ALT=\"m%5B2%5D+=+-%281%29%2F%288%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m%5B2%5D+=+-5%2F8%29 ALIGN=MIDDLE  ALT=\"highlight%28m%5B2%5D+=+-5%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > so, for the new equation, you can start by writing:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-5%2F8%29x%2Bb ALIGN=MIDDLE  ALT=\"y+=+%28-5%2F8%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > To find the value of b, you need to substitute the values of the x- and y-coordinates of the given point (-4, 3) and solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+%28-5%2F8%29%28-4%29%2Bb ALIGN=MIDDLE  ALT=\"3+=+%28-5%2F8%29%28-4%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+%285%2F2%29%2Bb ALIGN=MIDDLE  ALT=\"3+=+%285%2F2%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides. Replace(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+6%2F2 ALIGN=MIDDLE  ALT=\"3+=+6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F2%29-%285%2F2%29+=+b ALIGN=MIDDLE  ALT=\"%286%2F2%29-%285%2F2%29+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+1%2F2 ALIGN=MIDDLE  ALT=\"b+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  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+=+%28-5%2F8%29x%2B1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+%28-5%2F8%29x%2B1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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