document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214710>Question 214710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find an equation of the line having the given slope and containing the given point m=-6,(1,7) y= ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162148 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=162148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line having the given slope and containing the given point m=-6,(1,7) y= ?\r<BR>\n" );
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document.write( "Step 1.  Your problem will express your equation in terms of the y-intercept form given as y=mx+b where m is the slope and b is the y-intercept at point (0,b) when x=0 and y=b.\r<BR>\n" );
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document.write( "Step 2.  For m=-6, then y=-6x+b.  Substitute (1,7) or x=1 and y=7 to find b.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-6x%2Bb ALIGN=MIDDLE  ALT=\"y=-6x%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=7=-6%2A1%2Bb ALIGN=MIDDLE  ALT=\"7=-6%2A1%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=7=-6%2Bb ALIGN=MIDDLE  ALT=\"7=-6%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 6 to both sides to solve for b\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2B6=-6%2Bb%2B6 ALIGN=MIDDLE  ALT=\"7%2B6=-6%2Bb%2B6\"   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=13=b ALIGN=MIDDLE  ALT=\"13=b\"   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=b=13 ALIGN=MIDDLE  ALT=\"b=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  ANSWER:  The equation of the line is y=-6x+13\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C+-20%2C20%2C+-6x%2B13%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C+-20%2C20%2C+-6x%2B13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note from the graph the slope m=-6 and the y-intercept at 13 as well as going through point (1,7)\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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