document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402265>Question 402265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help, please help me find the equation of the line in slope-intercept form and standard form. <BR>\n" );
document.write( "Contains point (-3,5) and is perpendicular to 2x+3y=7<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284584 by </B><A HREF=/tutors/aboutme.mpl?userid=sofiyac><B>sofiyac(983)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sofiyac><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=sofiyac><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK step one: find slope of given function, which means put it in slope intercept form, so y=mx+b, so solve for y.<BR>\n" );
document.write( "2x+3y=7 subtract 2x from each side<BR>\n" );
document.write( "3y=-2x+7 divide both sides by 3<BR>\n" );
document.write( "y=-2x/3+7/3  so slope for this line is m=-2/3<BR>\n" );
document.write( "However, our line is perpendicular to this one, so the slope for OUR line is m=3/2 (opposite sign and flip it)<BR>\n" );
document.write( "Now we use the point given and this slope and plug it into the point slope formula, which is <BR>\n" );
document.write( "y-y1=m(x-x1) where (x1,y1) is the given point so (-3,5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=%283%2F2%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"y-5=%283%2F2%29%28x%2B3%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-5=3x%2F2%2B9%2F2 ALIGN=MIDDLE  ALT=\"y-5=3x%2F2%2B9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > add 5 to each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%2F2%2B19%2F2 ALIGN=MIDDLE  ALT=\"y=3x%2F2%2B19%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so this is your slope intercept form. <BR>\n" );
document.write( "For standard form just subtract 3x/2 from each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2F2%2By=19%2F2 ALIGN=MIDDLE  ALT=\"-3x%2F2%2By=19%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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