document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=432922>Question 432922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> passes through the point (-1,6) and is perpendicular to the line whose equation is 4x+2y=3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300122 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know that two lines are perpendicular when the product of their slopes is -1.\r<BR>\n" );
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document.write( "First we write 4x+2y=3 in the slope-intercept form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3%2F2 ALIGN=MIDDLE  ALT=\"y=-2x%2B3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we see that \r<BR>\n" );
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document.write( "the slope of this line is m1=-2. Let's the slope of the perpendicular line, m2, \r<BR>\n" );
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document.write( "then m1*m2=-1, substitute m1=-2, (-2)*m2=-1 => m2=1/2.\r<BR>\n" );
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document.write( "Now we find the equation of line through the point (-1, 6) with slope m2=1/2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-6=%281%2F2%29%2A%28x%2B1%29 ALIGN=MIDDLE  ALT=\"y-6=%281%2F2%29%2A%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, write it in the slope-intercept form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29%2Ax%2B7 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29%2Ax%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and in the standard form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y=-14 ALIGN=MIDDLE  ALT=\"x-2y=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C+300%2C+-15%2C+5%2C+-5%2C+10%2C+-2x%2B%283%2F2%29%2C+%281%2F2%29x%2B7%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C+300%2C+-15%2C+5%2C+-5%2C+10%2C+-2x%2B%283%2F2%29%2C+%281%2F2%29x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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