document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=420079>Question 420079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me answer this question? Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=-3. I have tried but seem to get stuck when it comes to fractions and solving for y. Any help is much appreciated! 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 #293600 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=293600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=-3. <BR>\n" );
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document.write( "Find the slope of the given equation, put it in the slope/intercept form; y= mx+b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - 3y = -3<BR>\n" );
document.write( "-3y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F4 ALIGN=MIDDLE  ALT=\"-3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - 3<BR>\n" );
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document.write( "y has to be positive, multiply by -1<BR>\n" );
document.write( "3y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 3<BR>\n" );
document.write( "divide eq by 3<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F12 ALIGN=MIDDLE  ALT=\"3%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 1<BR>\n" );
document.write( "Reduce fraction<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 1<BR>\n" );
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document.write( "the slope of the given equation: m1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the slope relationship of perpendicular lines: m1*m2 = -1<BR>\n" );
document.write( "Find m2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >*m2 = -1<BR>\n" );
document.write( "multiply both sides by 4<BR>\n" );
document.write( "m2 = -4 is the slope of line perpendicular to the given equation<BR>\n" );
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document.write( "use the point/slope form to find the perpendicular line: y - y1 = m(x - x1)<BR>\n" );
document.write( "we have: x1 = 4, y1 = -2, m = -4<BR>\n" );
document.write( "y - (-2) = -4(x - 4)<BR>\n" );
document.write( "y + 2 = -4x + 16<BR>\n" );
document.write( " y = -4x + 16 - 2<BR>\n" );
document.write( "y = -4x + 14, is the equation of the perpendicular line<BR>\n" );
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