document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178536>Question 178536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me with this problem\r<BR>\n" );
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document.write( "Draw l1 through (-4, 0) and (0, 6). What is the slope of any<BR>\n" );
document.write( "line parallel to l1? Draw l2 through the origin and parallel to l1<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 #133499 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "To make your drawing, just plot the two points and then draw a line through both of them.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28%0D%0A400%2C+400%2C+-8%2C+2%2C+-2%2C+8%2C%0D%0Agrid%281%29%2C%0D%0Acircle%28-4%2C0%2C.2%29%2C%0D%0Alocate%28-4%2C-.5%2CP1%28-4%2C0%29%29%2C%0D%0Acircle%280%2C6%2C.2%29%2C%0D%0Alocate%28.2%2C5.9%2CP2%280%2C6%29%29%2C%0D%0Agraph%28%0D%0A400%2C+400%2C+-8%2C+2%2C+-2%2C+8%2C%0D%0Ay=%283%2F2%29x+%2B+6%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Any line parallel to this line has the same slope.  So you need to calculate the slope of this line.\r<BR>\n" );
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document.write( "The slope of a line passing through two points <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left( x_1,y_1 \right)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left( x_2,y_2 \right)\"> is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m = \frac {y_1 - y_2}{x_1 - x_2}\">.\r<BR>\n" );
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document.write( "Your points are:   <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large ( -4,0 )\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large ( 0,6 )\">, so just plug in the values and do the arithmetic:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m = \frac {0 - 6}{-4 - 0}\">.  You can do your own arithmetic.  You don't absolutely <i><b>have</b></i> to reduce the fraction to lowest terms, but it makes things much tidier if you do.\r<BR>\n" );
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document.write( "To make it easy to create your second line, you need another point on your second line -- you are already given the first one, the origin <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large ( 0,0 )\">.\r<BR>\n" );
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document.write( "Use the point-slope form of the equation of a line, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (y - y_1)=m(x - x_1)\"> to create an equation for your second line.  Since the slopes have to be the same so that the lines are parallel, use the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m \"> you calculated above and insert the coordinates of the origin for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_1\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y_1\">.  Like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (y - 0)=m(x - 0)\"> which simplified is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y=mx\"> (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m \"> being replaced by the value you calculated above) .  Now pick any value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> that you like other than zero (I would pick 2 myself, but it is entirely up to you), and calculate the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">.  These two values will give you the coordinates of a second point for your new line.  Plot the new point, plot the origin, and connect the dots.\r<BR>\n" );
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