document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438937>Question 438937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation for the line that passes through (6,2) and is parallel to y=-1/2x+4\r<BR>\n" );
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document.write( "i have tried to solve for x but i have a feeling that that is not what my teacher wants because i get a really awful answer and i need to be able to graph it but i couldnt \r<BR>\n" );
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document.write( "thank you for your help <BR>\n" );
document.write( "sincerly <BR>\n" );
document.write( "frusterated algebra student  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303414 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=303414\">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( "Parallel lines have identical slopes.  When a two-variable linear equation is in the form <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\ =\ mx\ +\ b\">, then the slope of the graph is the coefficient on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.  Use the point-slope form of an equation of a line to derive the desired equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ m(x\ -\ x_1) \">\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x_1,y_1\right)\"> are the coordinates of the given point and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m\"> is the value of the slope you determined by inspection of the given equation.\r<BR>\n" );
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document.write( "Given that you have not provided any particular form for your desired equaation, simple substitution of the values in the point-slope form is sufficient.  However, if there is a desired form, such as standard form (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large Ax\ +\ By\ =\ C\">) or slope-intercept form (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\ =\ mx\ +\ b\">) then you will have to do the appropriate algebraic manipulations to put it into the proper/desired form.\r<BR>\n" );
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document.write( "Once you have your equation in any form:\r<BR>\n" );
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document.write( "1.  Pick a value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.  It can be anything you like, but I like to use small integers, evenly divisible by any denominator that you might have in your slope number.\r<BR>\n" );
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document.write( "2.  Replace <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> with the value selected in step 1, and then do the indicated arithmetic to determine the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">\r<BR>\n" );
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document.write( "3.  Form an ordered pair <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (x, y)\"> using the value selected in step 1 and the value calculated in step 2.\r<BR>\n" );
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document.write( "4.  Plot this ordered pair on a set of coordinate axes.\r<BR>\n" );
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document.write( "5.  Repeat steps 1 through 4 using a different value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">\r<BR>\n" );
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document.write( "6.  Draw a line across your coordinate axes through the two points.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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