document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83770>Question 83770</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780741911506/algebrahomeworkh>plato interactive mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have a problem help<BR>\n" );
document.write( "Find the value for A so that the given pair of lines will be parallel<BR>\n" );
document.write( "-7x + 8y = 13<BR>\n" );
document.write( "Ax + 4y = 15<BR>\n" );
document.write( "find the value for A so that the given pair of lines will be perpendicular<BR>\n" );
document.write( "20x + 5y = 18<BR>\n" );
document.write( "Ax +17y = 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60253 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=60253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)<BR>\n" );
document.write( "Remember that parallel lines have identical slopes.<BR>\n" );
document.write( "The first thing you ought to do is put your equations into the slope-intercept form:<BR>\n" );
document.write( "y = mx + b where m is the slope and b is the y-intercept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x%2B8y+=+13 ALIGN=MIDDLE  ALT=\"-7x%2B8y+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 7x to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y+=+7x%2B13 ALIGN=MIDDLE  ALT=\"8y+=+7x%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by 8.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%287%2F8%29x%2B13%2F8 ALIGN=MIDDLE  ALT=\"y+=+%287%2F8%29x%2B13%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Here, you can see that the slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+7%2F8 ALIGN=MIDDLE  ALT=\"m+=+7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2B4y+=+15 ALIGN=MIDDLE  ALT=\"Ax%2B4y+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract Ax from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+=+-Ax%2B15 ALIGN=MIDDLE  ALT=\"4y+=+-Ax%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-A%2F4%29x%2B15%2F4 ALIGN=MIDDLE  ALT=\"y+=+%28-A%2F4%29x%2B15%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Here, you can see that the slope,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-A%2F4 ALIGN=MIDDLE  ALT=\"m+=+-A%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, if you set these two slope equal to each other, you can solve for A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-A%2F4+=+7%2F8 ALIGN=MIDDLE  ALT=\"-A%2F4+=+7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by -4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%287%2F8%29%28-4%29 ALIGN=MIDDLE  ALT=\"A+=+%287%2F8%29%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+-7%2F2 ALIGN=MIDDLE  ALT=\"A+=+-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2)<BR>\n" );
document.write( "Remember that perpendicular lines have slopes that are the negative reciprocal of each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x%2B5y+=+18 ALIGN=MIDDLE  ALT=\"20x%2B5y+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 20x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+-20x%2B18 ALIGN=MIDDLE  ALT=\"5y+=+-20x%2B18\"   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+=+-4x%2B18%2F5 ALIGN=MIDDLE  ALT=\"y+=+-4x%2B18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Here, the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-4 ALIGN=MIDDLE  ALT=\"m+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2B17y+=+9 ALIGN=MIDDLE  ALT=\"Ax%2B17y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract Ax from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17y+=+-Ax%2B9 ALIGN=MIDDLE  ALT=\"17y+=+-Ax%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by 17.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-A%2F17%29x%2B9%2F17 ALIGN=MIDDLE  ALT=\"y+=+%28-A%2F17%29x%2B9%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Here, the slope,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-A%2F17 ALIGN=MIDDLE  ALT=\"m+=+-A%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you want to set one of the slopes equal to the negative reciprocal of the other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-A%2F17+=+-%281%2F-4%29 ALIGN=MIDDLE  ALT=\"-A%2F17+=+-%281%2F-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for A. Multiply both sides by -17.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F4%29%28-17%29 ALIGN=MIDDLE  ALT=\"A+=+%281%2F4%29%28-17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+-17%2F4 ALIGN=MIDDLE  ALT=\"A+=+-17%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );