document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65082>Question 65082</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that passes through the point (7,-2) and is parallel to the line that passes through (-2,-2) and (3,3)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45600 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=45600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that passes through the point (7,-2) and is parallel to the line that passes through (-2,-2) and (3,3)<BR>\n" );
document.write( "Parallel lines have equal slopes so if we find the slope between the give points we will have the slope of the line we're finding the equation of.<BR>\n" );
document.write( "The slope formula is: <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;\" >, m=slope and (x1,y1) and (x2,y2) are the given points.<BR>\n" );
document.write( "(x1,y1)=(-2,-2) and (x2,y2)=(3,3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%283-%28-2%29%29%2F%283-%28-2%29%29 ALIGN=MIDDLE  ALT=\"m=%283-%28-2%29%29%2F%283-%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=m=5%2F5 ALIGN=MIDDLE  ALT=\"m=5%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m=1<BR>\n" );
document.write( "Now that we have a slope, m=1 and a point (x1,y1)=(7,-2) we can use the point slope formula to find the equation of the line.  <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;\" >, where m=slope and (x1,y1) is a point on the line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-2%29=1%28x-7%29 ALIGN=MIDDLE  ALT=\"y-%28-2%29=1%28x-7%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%2B2=x-7 ALIGN=MIDDLE  ALT=\"y%2B2=x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2-2=x-7-2 ALIGN=MIDDLE  ALT=\"y%2B2-2=x-7-2\"   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=x-9%29 ALIGN=MIDDLE  ALT=\"highlight%28y=x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );