document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57864>Question 57864</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495012661/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line that passes through the given point and is parallel to the given line.  Write the answer in slope-intercept form\r<BR>\n" );
document.write( "\n" );
document.write( "P(-6,3), y + 3x = -12\r<BR>\n" );
document.write( "\n" );
document.write( "Can anyone help me on this one?  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39534 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=39534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line that passes through the given point and is parallel to the given line.  Write the answer in slope-intercept form\r<BR>\n" );
document.write( "\n" );
document.write( "P(-6,3), y + 3x = -12\r<BR>\n" );
document.write( "\n" );
document.write( "The first thing you need to do is find the slope of the line they gave you.  Parallel lines have equal slopes.<BR>\n" );
document.write( "Once we know a point and a slope we can writhe the equation of the line using the point-slope fomrula.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To find the slope of an equation of a line, put the equation in slope-intercept form:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where slope=m, and y-intercept=(0,b).<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y+3x=-12<BR>\n" );
document.write( "y+3x-3x=-3x-12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=highlight%28-3%29x-12 ALIGN=MIDDLE  ALT=\"y=highlight%28-3%29x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The slope is m=-3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The point-slope formula is: <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;\" ><BR>\n" );
document.write( "P(-6,3) tells us x1=-6 and y1=3.  We just found m=-3.  So plug and chug:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%283%29=-3%28x-%28-6%29%29 ALIGN=MIDDLE  ALT=\"y-%283%29=-3%28x-%28-6%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-3=-3%28x%2B6%29 ALIGN=MIDDLE  ALT=\"y-3=-3%28x%2B6%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-3=-3x-18 ALIGN=MIDDLE  ALT=\"y-3=-3x-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3%2B3=-3x-18%2B3 ALIGN=MIDDLE  ALT=\"y-3%2B3=-3x-18%2B3\"   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=-3x-15%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-3x-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );