document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258322>Question 258322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help i don't understand how to make the equations like this:<BR>\n" );
document.write( "write an equation of the line containing the given point and parallel to the given line (2,-4);9x-5y=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #190157 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=190157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> slope intercept form of the equation for a line is y = m*x + b where m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "the given line is 9x - 5y = 6\r<BR>\n" );
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document.write( "that equation is in standard form.\r<BR>\n" );
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document.write( "to convert to slope intercept form, solve for y.\r<BR>\n" );
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document.write( "equation is:\r<BR>\n" );
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document.write( "9x - 5y = 6\r<BR>\n" );
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document.write( "subtract 9x from both sides of this equation to get:\r<BR>\n" );
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document.write( "-5y = -9x + 6\r<BR>\n" );
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document.write( "divide both sides of this equation by 5 to get:\r<BR>\n" );
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document.write( "-y = (-9/5)*x + (6/5)\r<BR>\n" );
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document.write( "multiply both sides of this equation by -1 to get:\r<BR>\n" );
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document.write( "y = (9/5)*x - (6/5)\r<BR>\n" );
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document.write( "you now have the equation in slope intercept form.\r<BR>\n" );
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document.write( "the slope is (9/5) and the y-intercept is -(6/5)\r<BR>\n" );
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document.write( "graph of this equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28+600%2C600%2C-5%2C5%2C-10%2C10%2C%289%2F5%29%2Ax-%286%2F5%29%29 ALIGN=MIDDLE  ALT=\"graph+%28+600%2C600%2C-5%2C5%2C-10%2C10%2C%289%2F5%29%2Ax-%286%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "that just gets you the graph of the line you want to be parallel to.\r<BR>\n" );
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document.write( "your line will be parallel to this line so the slope will be the same.\r<BR>\n" );
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document.write( "the slope intercept form of the equation for your line will be:\r<BR>\n" );
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document.write( "y = (9/5)*x + b\r<BR>\n" );
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document.write( "you do not know what b is but you can solve for b by substituting the x value of your point for x and the y value of your point for y and then solve for b.\r<BR>\n" );
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document.write( "your point that is on the line parallel to the given line is (2,-4).\r<BR>\n" );
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document.write( "that's in (x,y) coordinate form.\r<BR>\n" );
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document.write( "x = 2<BR>\n" );
document.write( "y = -4\r<BR>\n" );
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document.write( "substitute these in the equation for your line that is parallel to the given line.\r<BR>\n" );
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document.write( "that equation is:\r<BR>\n" );
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document.write( "y = (9/5)*x + b\r<BR>\n" );
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document.write( "substitute 2 for x and -4 for y to get:\r<BR>\n" );
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document.write( "-4 = (9/5)*2 + b\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "-4 = (18/5) + b\r<BR>\n" );
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document.write( "subtract (18/5) from both sides of the equation to get:\r<BR>\n" );
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document.write( "-4 - (18/5) = b\r<BR>\n" );
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document.write( "-4 is equivalent to -20/5 because if you divide -20 by 5, you get -4.\r<BR>\n" );
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document.write( "solve for b to get\r<BR>\n" );
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document.write( "b = (-20/5) - (18/5) = (-38/5)\r<BR>\n" );
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document.write( "equation for you line becomes:\r<BR>\n" );
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document.write( "y = (9/5)*x - (38/5) after you substitute (-38/5) for b.\r<BR>\n" );
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document.write( "graph of this equation in addition to the given line is shown below:\r<BR>\n" );
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