document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396167>Question 396167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the point-slope form of the line that passes through (3,-3) and (5,1)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281102 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the point-slope form of the line that passes through (3,-3) and (5,1)?\r<BR>\n" );
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document.write( "slope m = rise/run = (y2 - y1)/(x2 - x1)<BR>\n" );
document.write( "m = (1 - -3)/(5 - 3) = (1 + 3)/2 = 4/2 = 2<BR>\n" );
document.write( "point-slope form of a line:<BR>\n" );
document.write( "y - y1 = m(x - x1) where (x1, y1) is the point to plug in, should be same result with both points given<BR>\n" );
document.write( "using (5,1): y - 1 = 2(x - 5)<BR>\n" );
document.write( "y - 1 = 2(x - 5)<BR>\n" );
document.write( "y - 1 = 2x - 10<BR>\n" );
document.write( "y = 2x - 9<BR>\n" );
document.write( "using (3,-3): y - -3 = 2(x - 3)<BR>\n" );
document.write( "y + 3 = 2(x - 3)<BR>\n" );
document.write( "y + 3 = 2x - 6<BR>\n" );
document.write( "y = 2x - 9, yes<BR>\n" );
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