document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217334>Question 217334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following. <BR>\n" );
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document.write( "(5, 2)  m = -2 \r<BR>\n" );
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document.write( "Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163892 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Point  Slope <BR>\n" );
document.write( "(5, 2)  m = -2 \r<BR>\n" );
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document.write( "Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.\r<BR>\n" );
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document.write( "Step 1.  The slope intercept form is given at y=mx+b where m is the slope and b is the y-intercept when x=0 and at point (0,b).\r<BR>\n" );
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document.write( "Step 2.  Given m=-2, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2Bb ALIGN=MIDDLE  ALT=\"y=-2x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  But the point (5,2) or x=5 and y=2 must lie on the line.  So we can use it to find the y-intercept b.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2Bb ALIGN=MIDDLE  ALT=\"y=-2x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=-2%2A5%2Bb ALIGN=MIDDLE  ALT=\"2=-2%2A5%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=-10%2Bb ALIGN=MIDDLE  ALT=\"2=-10%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 10 to both sides of the equation to get b.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B10=-10%2Bb%2B10 ALIGN=MIDDLE  ALT=\"2%2B10=-10%2Bb%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=b ALIGN=MIDDLE  ALT=\"12=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  ANSWER:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B12 ALIGN=MIDDLE  ALT=\"y=-2x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The graph of the line in Step 3 is shown below.  Note the y-intercept b=12 at x=0 and the line passes through (5,2).  Slope m=-2 such that one unit to the left is two units  down.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C+-15%2C15%2C+-15%2C15%2C+-2x%2B12%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C+-15%2C15%2C+-15%2C15%2C+-2x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope the above steps and explanation were helpful. \r<BR>\n" );
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document.write( "For Step-By-Step videos on Introduction to Algebra, \r<BR>\n" );
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document.write( "please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and \r<BR>\n" );
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document.write( "for Trigonometry please visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/Trigonometry. \r<BR>\n" );
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document.write( "Also, good luck in your studies and contact me at \r<BR>\n" );
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document.write( "john@e-liteworks.com for your future math needs.\r<BR>\n" );
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document.write( "Respectfully, <BR>\n" );
document.write( "Dr J </SPAN>\n" );
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