document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=355203>Question 355203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE EXPLAIN\r<BR>\n" );
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document.write( "WRITE AN EQUATION FOR THE LINE THROUGH THE POINT (-6,-2) AND PARALLEL TO THE LINE X-4Y=4\r<BR>\n" );
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document.write( "THANK YOU </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253748 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "*Note: parallel lines have the same slope. (they \"slant\" in the same direction so they do not cross one another: they are parallel)<BR>\n" );
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document.write( "The slope intercept equation for a line is y = mx + b where m is the slope and y -intercept (the point where the line crosses the y axis)<BR>\n" );
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document.write( "solving equation given for y, in order to find it's slope<BR>\n" );
document.write( " X-4Y = 4<BR>\n" );
document.write( "mulitplying thru by -1<BR>\n" );
document.write( "-x + 4y = -4<BR>\n" );
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document.write( "4y = x - 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F4%29x+-4 ALIGN=MIDDLE  ALT=\"y+=+%281%2F4%29x+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Slope of this line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Our new line also with a slope of (1/4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F4%29x+%2Bb ALIGN=MIDDLE  ALT=\"y+=+%281%2F4%29x+%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "substituting these values(-6,-2)to solve for b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2+=+%281%2F4%29%28-6%29+%2Bb ALIGN=MIDDLE  ALT=\"+-2+=+%281%2F4%29%28-6%29+%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2+%2B+%283%2F2%29+=+b ALIGN=MIDDLE  ALT=\"+-2+%2B+%283%2F2%29+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = -1/2<BR>\n" );
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document.write( "Equation of new line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F4%29x+-+%281%2F2%29 ALIGN=MIDDLE  ALT=\"y+=+%281%2F4%29x+-+%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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