document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647903>Question 647903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that satisfies the given conditions.<BR>\n" );
document.write( "Through (5, 6);  slope :2/3<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406445 by </B><A HREF=/tutors/aboutme.mpl?userid=Algebraic><B>Algebraic(50)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Algebraic><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=Algebraic><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=406445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you are given the slope of a line and a point on that line and are asked to find the equation of the line itself, we use the 'point-slope' formula.\r<BR>\n" );
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document.write( "The point slope formula is as follows:\r<BR>\n" );
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document.write( "y - y1 = m( x - x1 )\r<BR>\n" );
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document.write( "You replace x1 with the 'x' coordinate from the point given, y1 with the 'y' coordinate from the point given, and 'm' with the slope given.\r<BR>\n" );
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document.write( "Step 1: Let's begin by substituting what we have into the point-slope formula\r<BR>\n" );
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document.write( "Point-slope formula: y - y1 = m( x - x1 )<BR>\n" );
document.write( "Point given: (5,6)<BR>\n" );
document.write( "Slope given: m = 2/3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-6%29+=+%282%2F3%29%28x-5%29 ALIGN=MIDDLE  ALT=\"%28y-6%29+=+%282%2F3%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2: Distribute the (2/3) to everything in the parenthesis\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-6%29+=+%282%2F3%29%28x-5%29 ALIGN=MIDDLE  ALT=\"%28y-6%29+=+%282%2F3%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-6%29+=+%282x%2F3%29-10%2F3 ALIGN=MIDDLE  ALT=\"%28y-6%29+=+%282x%2F3%29-10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3: Combine like terms by adding 6 to both sides to get 'y' by itself\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-6%29+=+%282x%2F3%29-10%2F3 ALIGN=MIDDLE  ALT=\"%28y-6%29+=+%282x%2F3%29-10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%29+=+%282x%2F3%29-10%2F3+%2B+6%2F1 ALIGN=MIDDLE  ALT=\"%28y%29+=+%282x%2F3%29-10%2F3+%2B+6%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4: Find the LCD so you can add the fractions together. The least common denominator here is '3' because the least number that both fractions can go into is '3'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%29+=+%282x%2F3%29-10%2F3+%2B+6%2F1 ALIGN=MIDDLE  ALT=\"%28y%29+=+%282x%2F3%29-10%2F3+%2B+6%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5: Multiply (6/1) to 3 on both the numerator and denominator to be able to add the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%29+=+%282x%2F3%29-10%2F3+%2B+%286%2F1%29%283%2F3%29 ALIGN=MIDDLE  ALT=\"%28y%29+=+%282x%2F3%29-10%2F3+%2B+%286%2F1%29%283%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%29+=+%282x%2F3%29-10%2F3+%2B+18%2F3 ALIGN=MIDDLE  ALT=\"%28y%29+=+%282x%2F3%29-10%2F3+%2B+18%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6: Add the fractions because they have the same denominators now\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%29+=+%282x%2F3%29%2B8%2F3 ALIGN=MIDDLE  ALT=\"%28y%29+=+%282x%2F3%29%2B8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equation of the line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%29+=+%282x%2F3%29%2B8%2F3 ALIGN=MIDDLE  ALT=\"%28y%29+=+%282x%2F3%29%2B8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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