document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120389>Question 1120389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line which contains the point (-2,3) and is parallel to the line 3x+5y=17. (write the numerical coefficient of each term to complete the required equation)\r<BR>\n" );
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document.write( "Answer would be: ___x + ___ y - ___ = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736119 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you want the line parallel to 3x + 5y = 17 that passes through the point (-2,3).\r<BR>\n" );
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document.write( "if the line is parallel, it will have the same slope.\r<BR>\n" );
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document.write( "convert 3x + 5y to slope intercept form of y = mx + b.\r<BR>\n" );
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document.write( "subtract 3x from both sides of the equation to get 5y = -3x + 17\r<BR>\n" );
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document.write( "divide both sides of the equation by 5 to get y = -3/5 * x + 17/5.\r<BR>\n" );
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document.write( "the slope is -3/5.\r<BR>\n" );
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document.write( "your parallel line must have the same slope.\r<BR>\n" );
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document.write( "your parallel line with have a slope of -3/5.\r<BR>\n" );
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document.write( "the point slope form of your equation will be (y - y1) = m * (x - x1).\r<BR>\n" );
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document.write( "your slope is equal to m which is equal to -3/5.<BR>\n" );
document.write( "your point is equal to (-2,3) which is equal to (x1,y1).\r<BR>\n" );
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document.write( "when m = -3/5 and y1 is equal to 3 and x1 is equal to -2, the point slope form of the equation becomes:\r<BR>\n" );
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document.write( "(y - 3) = -3/5 * (x + 2)\r<BR>\n" );
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document.write( "multiply both sides of this equation by 5 to get:\r<BR>\n" );
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document.write( "5 * (y - 3) = -3 * (x + 2)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "5y - 15 = -3x - 6\r<BR>\n" );
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document.write( "add 3x to both sides of this equation and add 15 to both sides of this equation to get:\r<BR>\n" );
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document.write( "5y + 3x = 15 - 6\r<BR>\n" );
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document.write( "simplify and place x variable ahead of y variavble to get:\r<BR>\n" );
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document.write( "3x + 5y = 9\r<BR>\n" );
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document.write( "subtract 9 from both sides of this equation to get:\r<BR>\n" );
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document.write( "3x + 5y - 9 = 0\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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