document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37954>Question 37954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> state the equation of the line parallel to y=3/4X-2 and through (5,-1) into standard form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23458 by </B><A HREF=/tutors/aboutme.mpl?userid=junior403><B>junior403(76)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=junior403><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> state the equation of the line parallel to y=3/4X-2 and through (5,-1) into standard form.<BR>\n" );
document.write( "To find the equation of a line, given the equation of a parallel line <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F4%29x+-2 ALIGN=MIDDLE  ALT=\"y+=+%283%2F4%29x+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and a given point, (5,-1) as (x1,y1)<BR>\n" );
document.write( "we can use the point-slope formula...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+y1+=+m%28x+-+x1%29 ALIGN=MIDDLE  ALT=\"y+-+y1+=+m%28x+-+x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we substitute the given quantities.<BR>\n" );
document.write( "NOTE: the slope (m) of a parallel line is equal to the slope (m) <BR>\n" );
document.write( "of the original equation.<BR>\n" );
document.write( "So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+%28-1%29+=+%283%2F4%29%28x+-+5%29+-2 ALIGN=MIDDLE  ALT=\"y+-+%28-1%29+=+%283%2F4%29%28x+-+5%29+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then perform the indicated operations...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+1+=+%283%2F4%29x+-+%2815%2F4%29+-2 ALIGN=MIDDLE  ALT=\"y+%2B+1+=+%283%2F4%29x+-+%2815%2F4%29+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can subtract (1) to both sides of the equation...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F4%29x+-+%2815%2F4%29+-3 ALIGN=MIDDLE  ALT=\"y+=+%283%2F4%29x+-+%2815%2F4%29+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then we can multipy bothsides by the LCD (4) in order to eliminate the fractions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y%29+=+%284%29%283%2F4%29x+%284%29-+%2815%2F4%29+-3 ALIGN=MIDDLE  ALT=\"4%28y%29+=+%284%29%283%2F4%29x+%284%29-+%2815%2F4%29+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and we get...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+=+3x+-+18 ALIGN=MIDDLE  ALT=\"4y+=+3x+-+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is our parallel equation, <BR>\n" );
document.write( "Now we need to put it in standard form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax+%2B+By+=+C ALIGN=MIDDLE  ALT=\"Ax+%2B+By+=+C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So we subtract 3x from both sides...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x+%2B+4y+=+-18 ALIGN=MIDDLE  ALT=\"-3x+%2B+4y+=+-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+4y+=+18 ALIGN=MIDDLE  ALT=\"3x+-+4y+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is your answer.<BR>\n" );
document.write( "I hope this helps.<BR>\n" );
document.write( "Good Luck!<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
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