document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59475>Question 59475</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808540/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> how would i write the equation for a pair of parallel lines with the points: <BR>\n" );
document.write( "(-4,-1), (1,1) [one of them] and (-2,-5), (3,-3) [the other]??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40910 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how would i write the equation for a pair of parallel lines with the points: <BR>\n" );
document.write( "(-4,-1), (1,1) [one of them] and (-2,-5), (3,-3) [the other]???<BR>\n" );
document.write( "You're right the lines would be parallel.<BR>\n" );
document.write( "The slope of the first line can be found with the slope formula:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where (x1,y1) and (x2,y2) are given points and m is slope.<BR>\n" );
document.write( "For (-4,-1) and (1,1) the slope is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%281-%28-1%29%29%2F%281-%28-4%29%29 ALIGN=MIDDLE  ALT=\"m=%281-%28-1%29%29%2F%281-%28-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%281%2B1%29%2F%281%2B4%29 ALIGN=MIDDLE  ALT=\"m=%281%2B1%29%2F%281%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=2%2F5 ALIGN=MIDDLE  ALT=\"m=2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The slope of the other 2 points is also 2/5.  All parallel lines have the same slope.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Once you have a slope and a point you can write the equation of a line using the point-slope formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-y1=m%28x-x1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-y1=m%28x-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, m=slope, and (x1,y1)=any point on the line:<BR>\n" );
document.write( "For the first set of points, let m=2/5 and (x1,y1)=(1,1)  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1=%282%2F5%29%28x-1%29 ALIGN=MIDDLE  ALT=\"y-1=%282%2F5%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28y-1%29=5%282%2F5%29%28x-1%29 ALIGN=MIDDLE  ALT=\"5%28y-1%29=5%282%2F5%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-5=2%28x-1%29 ALIGN=MIDDLE  ALT=\"5y-5=2%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-5=2x-2 ALIGN=MIDDLE  ALT=\"5y-5=2x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-5%2B5=2x-2%2B5 ALIGN=MIDDLE  ALT=\"5y-5%2B5=2x-2%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=2x%2B3 ALIGN=MIDDLE  ALT=\"5y=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2F5=%282%2F5%29x%2B3%2F5 ALIGN=MIDDLE  ALT=\"5y%2F5=%282%2F5%29x%2B3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%282%2F5%29x%2B3%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%282%2F5%29x%2B3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For fun, you can use the other point to get this same equation.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you prove that I'm right about the slope of the other two points is also m=2/5  (x1,y1)=(-2,-5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-5%29=%282%2F5%29%28x-%28-2%29%29 ALIGN=MIDDLE  ALT=\"y-%28-5%29=%282%2F5%29%28x-%28-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%282%2F5%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"y%2B5=%282%2F5%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28y%2B5%29=5%282%2F5%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"5%28y%2B5%29=5%282%2F5%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2B25=2%28x%2B2%29 ALIGN=MIDDLE  ALT=\"5y%2B25=2%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2B25=2x%2B4 ALIGN=MIDDLE  ALT=\"5y%2B25=2x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2B25-25=2x%2B4-25 ALIGN=MIDDLE  ALT=\"5y%2B25-25=2x%2B4-25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=2x-21 ALIGN=MIDDLE  ALT=\"5y=2x-21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2F5=%282%2F5%29x-21%2F5 ALIGN=MIDDLE  ALT=\"5y%2F5=%282%2F5%29x-21%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%282%2F5%29x-21%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%282%2F5%29x-21%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the other point to get this same equation for fun.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );