document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=13985>Question 13985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distance of the point (3,0) from the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29x%2B1 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7028 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=7028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the quoted line has gradient 1/2.\r<BR>\n" );
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document.write( "the line through (3,0) to this first line will have a gradient of -2 (look at my Lesson on straight lines, for the reason).\r<BR>\n" );
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document.write( "So, the second line equation is y=-2x+c... need to find c:\r<BR>\n" );
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document.write( "0 = -2(3) + c<BR>\n" );
document.write( "0 = -6 + c<BR>\n" );
document.write( "--> c = 6\r<BR>\n" );
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document.write( "--> equation is y=-2x+6\r<BR>\n" );
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document.write( "Right, we need to know the coordinates of th epoint where the 2 points cross...ie where the 2 lines are EQUAL...\r<BR>\n" );
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document.write( "so, we have y = (1/2)x + 1 = -2x + 6<BR>\n" );
document.write( "(1/2)x = -2x + 5<BR>\n" );
document.write( "x = -4x + 10<BR>\n" );
document.write( "5x = 10<BR>\n" );
document.write( "--> x = 2.\r<BR>\n" );
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document.write( "so from y = -2x + 6, we get<BR>\n" );
document.write( "y = -2(2) + 6<BR>\n" );
document.write( "y = -4 + 6<BR>\n" );
document.write( "y = +2\r<BR>\n" );
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document.write( "so, point of intersection is (2,2).\r<BR>\n" );
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document.write( "So now you have 2 points (3,0) and (2,2)...find the length of that line...you do that :-)\r<BR>\n" );
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document.write( "jon.\r<BR>\n" );
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