document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617019>Question 617019</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Find an equation in slope-intercept form passing through the points (-10, 23) and (6, -11). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388092 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Points  (-10,23) and (6,-11)<BR>\n" );
document.write( "Use point-slope Equation<BR>\n" );
document.write( "m=(y2-y1)/(x2-x1)<BR>\n" );
document.write( "m=(-11-23)/(6-(-10))<BR>\n" );
document.write( "m=(-11-23)/(6+10)<BR>\n" );
document.write( "m=-34/16<BR>\n" );
document.write( "m=-17/8\r<BR>\n" );
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document.write( "Equation of the line Slope-intercept form<BR>\n" );
document.write( "y=mx+b <BR>\n" );
document.write( "Put the value of any one point and slope in above equation<BR>\n" );
document.write( "m=-17/8, Point (-10,23) <BR>\n" );
document.write( "23=(-17/8)(-10)+b<BR>\n" );
document.write( "23=170/8+b<BR>\n" );
document.write( "23=85/4+b<BR>\n" );
document.write( "23-85/4=b<BR>\n" );
document.write( "(92-85)/4=b<BR>\n" );
document.write( "7/4=b<BR>\n" );
document.write( "b=7/4<BR>\n" );
document.write( "Now<BR>\n" );
document.write( "m=-17/8, Point (6,-11) <BR>\n" );
document.write( "-11=(-17/8)(6)+b<BR>\n" );
document.write( "-11=-102/8+b<BR>\n" );
document.write( "-11=-51/4+b<BR>\n" );
document.write( "-11+51/4=b<BR>\n" );
document.write( "(-44+51)/4=b<BR>\n" );
document.write( "7/4=b<BR>\n" );
document.write( "b=7/4<BR>\n" );
document.write( "Again we found the same value for y-intercept\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Now put the value of b and m in Equation of the Slope-intercept Form<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "y=(-17/8)x+7/4<BR>\n" );
document.write( "Above equation is our required Equation of the Straight line Slope-inercept form\r<BR>\n" );
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document.write( "Graph<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28500%2C500%2C-20%2C20%2C-20%2C20%2C-17x%2F8%2B7%2F4%29+ ALIGN=MIDDLE  ALT=\"+graph%28500%2C500%2C-20%2C20%2C-20%2C20%2C-17x%2F8%2B7%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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