document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647772>Question 647772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation of a line containing the given point (8,-6) parallel to 2x-3y=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406367 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=406367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you're given a specific point and an equation, you can use the point-slope formula to find a parallel line. REMEMBER: Parallel lines will always have the same slope as to what they gave you.\r<BR>\n" );
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document.write( "The point-slope formula is: y – y1 = m(x – x1)\r<BR>\n" );
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document.write( "First of all, the equation you provided is not in standard form. You need to put this equation in standard form to be able to obtain its slope. \r<BR>\n" );
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document.write( "The slope-intercept form (standard form) of an equation can be expressed as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 1: We must put the equation they gave us in standard form, like the one that is above.\r<BR>\n" );
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document.write( "Original equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y=7 ALIGN=MIDDLE  ALT=\"2x-3y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want to get 'y' by itself, so subtract '2x' from both sides.\r<BR>\n" );
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document.write( "Step 2: You'll get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y=-2x%2B7 ALIGN=MIDDLE  ALT=\"-3y=-2x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We want to get 'y' by itself, so divide 3 from the 'y' and from the rest of the equation.\r<BR>\n" );
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document.write( "Step 3: It becomes: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2F3-7%2F3 ALIGN=MIDDLE  ALT=\"y=2x%2F3-7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4: The equation originally given is now in slope-intercept form, and we now know the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+=+2%2F3 ALIGN=MIDDLE  ALT=\"M+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We know the slope stays the same as the original equation because parallel slopes stay exactly the same.\r<BR>\n" );
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document.write( "We now need to use the point-slope formula to find a parallel equation.\r<BR>\n" );
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document.write( "Let's recap.. the point-slope formula is:  y – y1 = m(x – x1) \r<BR>\n" );
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document.write( "We're going to replace 'x1' with the 'x' coordinate given to us, the 'y1' with the 'y' coordinate given to us, and the m with the slope we just found.\r<BR>\n" );
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document.write( "Step 1: \r<BR>\n" );
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document.write( "Original point: (8,-6)<BR>\n" );
document.write( "Slope: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+=+2%2F3 ALIGN=MIDDLE  ALT=\"M+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's begin by replacing the values in.\r<BR>\n" );
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document.write( "(y – (-6)) = 2/3(x – 8)\r<BR>\n" );
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document.write( "Step 2: Simplify the first parenthesis\r<BR>\n" );
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document.write( "(y + 6)) = 2/3(x – 8)\r<BR>\n" );
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document.write( "Step 3: Distribute terms\r<BR>\n" );
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document.write( "(y + 6)) = ((2x/3) - (16/3))\r<BR>\n" );
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document.write( "Step 4: Combine like terms (You want to get 'y' by itself, so subtract 6 on both sides.)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%282x%2F3%29+-+%2816%2F3%29-%286%2F1%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%282x%2F3%29+-+%2816%2F3%29-%286%2F1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5: Find an LCD (least common denominator) that will divide into both denominators. The LCD is 3, so multiply 6 by 3 on the top and on the bottom.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%282x%2F3%29+-+%2816%2F3%29-%2818%2F3%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%282x%2F3%29+-+%2816%2F3%29-%2818%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6: Combine like terms (subtract the fractions)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%282x%2F3%29+-+%2834%2F3%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%282x%2F3%29+-+%2834%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your new parallel equation is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%282x%2F3%29+-+%2834%2F3%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%282x%2F3%29+-+%2834%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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