document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55178>Question 55178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in slope-intercept form for the line that satisfies each set of conditions.\r<BR>\n" );
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document.write( "PASSES THROUGH (1,-1),PARALLEL TO THE LINE THAT PASSES THROUGH (4,1) AND (2,-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37534 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=37534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write an equation in slope-intercept form for the line that satisfies each set of conditions.\r<BR>\n" );
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document.write( "PASSES THROUGH (1,-1),PARALLEL TO THE LINE THAT PASSES THROUGH (4,1) AND (2,-3)<BR>\n" );
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document.write( "In order to find the equation of a line we need a point and a slope (m).  We don't have a slope, but we can find one using 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;\" >  using the two points that they gave us: (x1,y1)=(4,1) and (x2,y2)=(2,-3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-3-1%29%2F%282-4%29 ALIGN=MIDDLE  ALT=\"m=%28-3-1%29%2F%282-4%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=-4%2F-2 ALIGN=MIDDLE  ALT=\"m=-4%2F-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%28m=2%29 ALIGN=MIDDLE  ALT=\"highlight%28m=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Parallel lines have equal slopes. <BR>\n" );
document.write( "Now that we have a slope (m=2) and a point (x1,y1)=(1,-1), we can use the point-slope formula to find the equation of a 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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-1%29=2%28x-1%29 ALIGN=MIDDLE  ALT=\"y-%28-1%29=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=y%2B1=2x-2 ALIGN=MIDDLE  ALT=\"y%2B1=2x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Slope intercept form is <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;\" >, so solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1-1=2x-2-1 ALIGN=MIDDLE  ALT=\"y%2B1-1=2x-2-1\"   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=2x-3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!!<BR>\n" );
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