document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748574>Question 748574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation of the line perpendicular to 3x+2y=5 and having y- intercept of (0,1)\r<BR>\n" );
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document.write( "could you please show all the steps for solving this problem?  I am 50 yrs old and new to algebra.\r<BR>\n" );
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document.write( "Thanks \r<BR>\n" );
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document.write( "Tonya </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455513 by </B><A HREF=/tutors/aboutme.mpl?userid=timvanswearingen><B>timvanswearingen(106)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=timvanswearingen><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=timvanswearingen><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, find the slope of 3x+2y=5.  <BR>\n" );
document.write( "To do this, get it into slope-intercept form (y=mx+b where m is the slope and +b is the intercept.)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y=5 ALIGN=MIDDLE  ALT=\"3x%2B2y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 3x from both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+-3x%2B5 ALIGN=MIDDLE  ALT=\"2y+=+-3x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-3%2F2%2Ax%2B5%2F2 ALIGN=MIDDLE  ALT=\"y+=+-3%2F2%2Ax%2B5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The coefficient of x is the slope in this equation, so the slope is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find a perpendicular slope, you flip it over and change the sign, so it will go from:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So you want the line with slope 2/3 that has a y-intercept of 1 as required by the problem.\r<BR>\n" );
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document.write( "With slope-intercept form (y=mx+b), you just need to plug in your slope, m, which is 2/3 and your y-intercept, +b, which is positive 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2F3%2Ax%2B1 ALIGN=MIDDLE  ALT=\"y=2%2F3%2Ax%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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