document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992653>Question 992653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through the given pair of points. solve for y if possible. (2,-6) (7,2) I have to find the equation of the line and write it in standard form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612213 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=612213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> slope of line is the difference in y values divided by difference in x values,<BR>\n" );
document.write( "we are given two points (2,-6) (7,2), therefore<BR>\n" );
document.write( "slope = (2 - (-6)) / (7 - 2) = 8/5 = 1.6<BR>\n" );
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document.write( "standard form for equation of a line is, y = mx + b where m is slope and b is the y intercept<BR>\n" );
document.write( "so far we have<BR>\n" );
document.write( "y = 1.6x + b<BR>\n" );
document.write( "we can choose either point to determine b, let's choose (7,2)<BR>\n" );
document.write( "2 = (1.6*7) + b<BR>\n" );
document.write( "2 = 11.2 + b<BR>\n" );
document.write( "subtract 11.2 from both sides of =<BR>\n" );
document.write( "b = -9.2<BR>\n" );
document.write( "therefore the standard form of the equation of the line is<BR>\n" );
document.write( "y = 1.6x - 9.2<BR>\n" );
document.write( " </SPAN>\n" );
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