document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88342>Question 88342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I tried to look through my old math books but I didn't find anything on this problem. Please help me solve this problem:\r<BR>\n" );
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document.write( "Find the value of k so that the given line has the given slope.<BR>\n" );
document.write( "#5.(k+5)x+6y=42;m=4/3\r<BR>\n" );
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document.write( "Please and Thank you!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64167 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of k so that the given line has the given slope.<BR>\n" );
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document.write( "#5.   (k+5)x + 6y = 42;  m=4/3 <BR>\n" );
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document.write( "(k+5)x + 6y = 42 is in the standard form<BR>\n" );
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document.write( "Put equation into the slope/intercept form<BR>\n" );
document.write( "6y = -(k+5)x + 42<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28k%2B5%29x%29%2F6 ALIGN=MIDDLE  ALT=\"%28-%28k%2B5%29x%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F6%29 ALIGN=MIDDLE  ALT=\"42%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28k%2B5%29x%29%2F6 ALIGN=MIDDLE  ALT=\"%28-%28k%2B5%29x%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 7<BR>\n" );
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document.write( "That makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28k%2B5%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28-%28k%2B5%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >} the slope, the problem said the slope was 4/3; therefore:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28k%2B5%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28-%28k%2B5%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply the equation by 6 and you have:<BR>\n" );
document.write( "-(k+5) = 4(2)<BR>\n" );
document.write( "-(k+5) = 8<BR>\n" );
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document.write( "Mult equation by -1, you have:<BR>\n" );
document.write( "k + 5 = -8<BR>\n" );
document.write( "k = -8 - 5<BR>\n" );
document.write( "k = -13<BR>\n" );
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document.write( "Check our solution. Substitute for k in the original equation:<BR>\n" );
document.write( "(-13+5)x + 6y = 42<BR>\n" );
document.write( "-8x + 6y = 42<BR>\n" );
document.write( "6y = +8x + 42<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F6 ALIGN=MIDDLE  ALT=\"8%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F6 ALIGN=MIDDLE  ALT=\"42%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 7; m = 4/3 as required<BR>\n" );
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document.write( "Did this make sense? </SPAN>\n" );
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