document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=717522>Question 717522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation in slope intercept form (4,1), m=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440340 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=440340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are many different ways to write the equation of a line.<BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28slope-intercept%29 ALIGN=MIDDLE  ALT=\"highlight%28slope-intercept%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form is very popular because there is only one point-slope form of the equation per line,<BR>\n" );
document.write( "so if your answer looks very different from someone else's, at least one of you is wrong.<BR>\n" );
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document.write( "When you have the slope, m, and the coordinates of a point, you can easily write one of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28point-slope%29 ALIGN=MIDDLE  ALT=\"highlight%28point-slope%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > forms of the equation.<BR>\n" );
document.write( "A little algebra manipulation can get you from that point-slope form to the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28slope-intercept%29 ALIGN=MIDDLE  ALT=\"highlight%28slope-intercept%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form.<BR>\n" );
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document.write( "Alternatively, you could write the slope-intercept form leaving the still unknown intercept written as the variable <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >later by solving an equation.<BR>\n" );
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document.write( "GOING THROUGH THE POINT-SLOPE FORM:<BR>\n" );
document.write( "Using point (4,1), the point-slope form is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1=2%28x-4%29 ALIGN=MIDDLE  ALT=\"y-1=2%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The little algebra to get to the slope-intercept form is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1=2%28x-4%29 ALIGN=MIDDLE  ALT=\"y-1=2%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1=2x-8%29 ALIGN=MIDDLE  ALT=\"y-1=2x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-8%2B1%29 ALIGN=MIDDLE  ALT=\"y=2x-8%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=2x-7%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2x-7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "NOT GOING THROUGH THE POINT-SLOPE FORM:<BR>\n" );
document.write( "The slope-intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope, so for now we write<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2Bb ALIGN=MIDDLE  ALT=\"y=2x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and will have to solve a simple equation to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Point (4,1) is on the line and has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Substituting those values into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2Bb ALIGN=MIDDLE  ALT=\"y=2x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=2%2A4%2Bb ALIGN=MIDDLE  ALT=\"1=2%2A4%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=8%2Bb ALIGN=MIDDLE  ALT=\"1=8%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-8=b ALIGN=MIDDLE  ALT=\"1-8=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-7 ALIGN=MIDDLE  ALT=\"b=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that we know the cvalue of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can plug it into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2Bb ALIGN=MIDDLE  ALT=\"y=2x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and be done:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B%28-7%29 ALIGN=MIDDLE  ALT=\"y=2x%2B%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=2x-7%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2x-7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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