document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417963>Question 417963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line passing through the points                 ( negative 2, 7) and (3, negative 5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292583 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Write the equation of the line passing through the points (-2, 7) and (3,-5)\"\r<BR>\n" );
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document.write( "One way to get the equation of a line,<BR>\n" );
document.write( "is to find the slope and y-intercept.<BR>\n" );
document.write( "Then, substitute those into the slope-intercept form: y = mx + b\r<BR>\n" );
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document.write( "(-2,7) , (3,-5)\r<BR>\n" );
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document.write( "y2 - y1<BR>\n" );
document.write( "-------- {formula to find slope}<BR>\n" );
document.write( "x2 - x1\r<BR>\n" );
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document.write( "-5 - 7<BR>\n" );
document.write( "-------- {substituted into slope formula}<BR>\n" );
document.write( "3 - (-2)\r<BR>\n" );
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document.write( "-12<BR>\n" );
document.write( "--- {simplified}<BR>\n" );
document.write( "5 \r<BR>\n" );
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document.write( "slope is -12/5\r<BR>\n" );
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document.write( "Now, pick one of the points, and substitute it with the slope, into slope-intercept form.  <BR>\n" );
document.write( "This will give you the y-intercept.\r<BR>\n" );
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document.write( "(3,-5), m = -12/5<BR>\n" );
document.write( "y = mx + b {slope-intercept form}<BR>\n" );
document.write( "-5 = -12/5(3) + b {substituted into slope-intercept form}<BR>\n" );
document.write( "-5 = -36/5 + b {multiplied -12/5 by 3}<BR>\n" );
document.write( "b = 11/5 {added 36/5 to both sides}<BR>\n" );
document.write( "y-intercept is 11/5\r<BR>\n" );
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document.write( "Substitute slope and y-intercept into slope-intercept form y = mx + b<BR>\n" );
document.write( "m is the slope <BR>\n" );
document.write( "b is the y-intercept\r<BR>\n" );
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document.write( "y = -12/5x + 11/5<BR>\n" );
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