document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107812>Question 107812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If possible please explain how you come up with each step.Thanks\r<BR>\n" );
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document.write( "  Find the equation, in slope-intercept form, of the line that passes through the points (5, 6) and (-7, 3).Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78578 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=78578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m is the slope, b is the y-intercept<BR>\n" );
document.write( "Each point is a solution to the equation<BR>\n" );
document.write( "(5,6)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+m%2A5+%2B+b ALIGN=MIDDLE  ALT=\"6+=+m%2A5+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(-7,3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+m%2A%28-7%29+%2B+b ALIGN=MIDDLE  ALT=\"3+=+m%2A%28-7%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now solve for m and b<BR>\n" );
document.write( "multiply the 2nd equation by -1 and add to the 1st<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+m%2A%28-7%29+%2B+b ALIGN=MIDDLE  ALT=\"3+=+m%2A%28-7%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+=+m%2A7+-+b ALIGN=MIDDLE  ALT=\"-3+=+m%2A7+-+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+m%2A5+%2B+b ALIGN=MIDDLE  ALT=\"6+=+m%2A5+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+m%2A12 ALIGN=MIDDLE  ALT=\"3+=+m%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+1%2F4 ALIGN=MIDDLE  ALT=\"m+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now find b, by substitution in either equation-I'll use 1st<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+%281%2F4%29%2A5+%2B+b ALIGN=MIDDLE  ALT=\"6+=+%281%2F4%29%2A5+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+5+%2B+4b ALIGN=MIDDLE  ALT=\"24+=+5+%2B+4b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b+=+19 ALIGN=MIDDLE  ALT=\"4b+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+19%2F4 ALIGN=MIDDLE  ALT=\"b+=+19%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F4%29%2Ax+%2B+19%2F4 ALIGN=MIDDLE  ALT=\"y+=+%281%2F4%29%2Ax+%2B+19%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check answer by seeing if it goes through both points<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+%281%2F4%29%2A5+%2B+19%2F4 ALIGN=MIDDLE  ALT=\"6+=+%281%2F4%29%2A5+%2B+19%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+5%2F4+%2B+19%2F4 ALIGN=MIDDLE  ALT=\"6+=+5%2F4+%2B+19%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F4+=+24%2F4 ALIGN=MIDDLE  ALT=\"24%2F4+=+24%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK<BR>\n" );
document.write( "also<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+%281%2F4%29%2A%28-7%29+%2B+19%2F4 ALIGN=MIDDLE  ALT=\"3+=+%281%2F4%29%2A%28-7%29+%2B+19%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+-%287%2F4%29+%2B+19%2F4 ALIGN=MIDDLE  ALT=\"3+=+-%287%2F4%29+%2B+19%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F4+=+12%2F4 ALIGN=MIDDLE  ALT=\"12%2F4+=+12%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );