document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999556>Question 999556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in slope intercept form of the line that passes through the given point and is perpendicular to the given line. Given: (-3,1); y=1/3x+2, (4,-3); 2x-7y=14\r<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 #617165 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=617165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (4,-3); 2x-7y=14\r<BR>\n" );
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document.write( "Solve for y and adjust into slope intercept form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7y=-2x%2B14 ALIGN=MIDDLE  ALT=\"-7y=-2x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F7%29x-2 ALIGN=MIDDLE  ALT=\"y=%282%2F7%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Determine what is negative reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "That would be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F2 ALIGN=MIDDLE  ALT=\"-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and this is the slope of the line PERPENDICULAR to the given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-7y=14 ALIGN=MIDDLE  ALT=\"2x-7y=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Line to be found, if in slope-intercept form is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%287%2F2%29x%2Bb ALIGN=MIDDLE  ALT=\"y=-%287%2F2%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you want to find b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B%287%2F2%29x=b ALIGN=MIDDLE  ALT=\"y%2B%287%2F2%29x=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y%2B%287%2F2%29x ALIGN=MIDDLE  ALT=\"b=y%2B%287%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the point which this line must pass through.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%28-3%29%2B%287%2F2%294 ALIGN=MIDDLE  ALT=\"b=%28-3%29%2B%287%2F2%294\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-3%2B14 ALIGN=MIDDLE  ALT=\"b=-3%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=11 ALIGN=MIDDLE  ALT=\"b=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Line sought, in slope-intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%287%2F2%29x%2B11%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%287%2F2%29x%2B11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  THIS LINE is perpendicular to 2x-7y=14 and passes through the required point (4,-3).\r<BR>\n" );
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document.write( "Adjust the line into standard form, IF YOU WANT, since your given line was in standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%287%2F2%29x%2B11 ALIGN=MIDDLE  ALT=\"y=-%287%2F2%29x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-7x%2B22 ALIGN=MIDDLE  ALT=\"2y=-7x%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B7x=22 ALIGN=MIDDLE  ALT=\"2y%2B7x=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%287x%2B2y=22%29 ALIGN=MIDDLE  ALT=\"highlight%287x%2B2y=22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The two red-outlined equations are equivalent. </SPAN>\n" );
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