document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206053>Question 206053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given two lines: l1 x+2y=4 and l2 3x-y=5, write the equation of line l such that l is perpendicular to l1, and l has the same y-intercept as l2. </SPAN>\n" );
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document.write( "given two lines: l1 x+2y=4 and l2 3x-y=5, write the equation of line l such that l is perpendicular to l1, and l has the same y-intercept as l2.\r<BR>\n" );
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document.write( "L1 -----> x + 2y = 4 -----> 2y = -x + 4 \r<BR>\n" );
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document.write( "Therefore, L1, in y = mx + b form is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%281%2F2%29x+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+-%281%2F2%29x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, L1's slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, meaning that its perependicular equation \r<BR>\n" );
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document.write( "will have a slope of 2.\r<BR>\n" );
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document.write( "Now, L2 -----> 3x - y = 5 -----> -y = -3x + 5 \r<BR>\n" );
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document.write( "Therefore, L2, in y = mx + b form is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x+-+5 ALIGN=MIDDLE  ALT=\"y+=+3x+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, L2's y-intercept is - 5.\r<BR>\n" );
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document.write( "Therefore, the equation that is perependicular to x + 2y = 4, and that has the \r<BR>\n" );
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document.write( "same y-intercept as 3x - y = 5, in y = mx + b form, is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y+=+%0D%0A%0D%0A2x+-+5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y+=+%0D%0A%0D%0A2x+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and in standard form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-+2x+%2B+y+=+-+5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-+2x+%2B+y+=+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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