document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389123>Question 389123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Write an equation of the line that passes through the given two points ( -3 , 5 ), ( 41 , -127 ) \r<BR>\n" );
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document.write( "2. Write the slope of the line passing through the two points ( -4 , -1 ), ( -6 , 6 \r<BR>\n" );
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document.write( "3.Write the slope of the line passing through the two points ( 7 , -3 ), ( -3 , 5 ) \r<BR>\n" );
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document.write( "4. Solve each system of equations using the elimination method5x + 6y = -75x - 3y = 146\r<BR>\n" );
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document.write( "5.Write the slope-intercept form of the equation 3y = -15 + 3x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275647 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the line that passes through the points (-3,5), (41,127) <BR>\n" );
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document.write( "Given 2 points example. <BR>\n" );
document.write( "Find the equation of the line thru the points (2,1) and (3,5)<BR>\n" );
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document.write( "This is a 2 step process.  First find the slope of the line thru the points.<BR>\n" );
document.write( "slope, m = diffy/diffx<BR>\n" );
document.write( "m = (5-1)/(3-2)<BR>\n" );
document.write( "m = 4<BR>\n" );
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document.write( "Now use y = mx + b with either point to find b, the y-intercept.<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "5 = 4*3 + b<BR>\n" );
document.write( "b = -7<BR>\n" );
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document.write( "y = mx + b<BR>\n" );
document.write( "y = 4x - 7 is the answer.<BR>\n" );
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document.write( "Another approach using determinants:<BR>\n" );
document.write( "|x y 1|<BR>\n" );
document.write( "|2 1 1| = 0<BR>\n" );
document.write( "|3 5 1|<BR>\n" );
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document.write( "x(1-5) - y(2-3) + 1(10-3) = 0<BR>\n" );
document.write( "-4x + y + 7 = 0<BR>\n" );
document.write( "y = 4x - 7<BR>\n" );
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document.write( "For further assistance, or to check your work, email me via the thank you note <BR>\n" );
document.write( " or at Moral Loophole@aol.com<BR>\n" );
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