document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=226400>Question 226400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> give the equation of the line that passes thru (0.9,0.3) and parallel to 3x+2y=6, leave your answer in y=mx+b form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168595 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=168595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> slope-intercept form of the equation of a line is y = mx = b where m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "equation of 2x + 2y = 6 is the standard form of the equation of a line.\r<BR>\n" );
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document.write( "That standard form is ax + by = c\r<BR>\n" );
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document.write( "You need to convert that equation to the slope intercept form first.\r<BR>\n" );
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document.write( "2x + 2y = 6 is the original equation.<BR>\n" );
document.write( "subtract 2x from both sides of the equation to get:<BR>\n" );
document.write( "2y = -2x + 6<BR>\n" );
document.write( "divide both sides of the equation by 2 to get:<BR>\n" );
document.write( "y = -x + 3\r<BR>\n" );
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document.write( "your original equation in slope-intercept form is:\r<BR>\n" );
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document.write( "y = -x + 3\r<BR>\n" );
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document.write( "The slope of your original equation is -1.\r<BR>\n" );
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document.write( "Your equation will have the same slope.\r<BR>\n" );
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document.write( "take the general slope-intercept form of:\r<BR>\n" );
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document.write( "y = mx + b\r<BR>\n" );
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document.write( "and replace m with -1 to get:\r<BR>\n" );
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document.write( "y = -x + b\r<BR>\n" );
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document.write( "now take your points of (x,y) = (.9,.3) and replace x and y in this equation with them.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "y = -x + b becomes:<BR>\n" );
document.write( ".3 = -.9 + b<BR>\n" );
document.write( "add .9 from both sides of this equation to get:<BR>\n" );
document.write( ".3 + .9 = b<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "b = 1.2\r<BR>\n" );
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document.write( "replace b in the slope-intercept form of your equation to get:\r<BR>\n" );
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document.write( "y = -x + 1.2\r<BR>\n" );
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document.write( "That should be your equation.\r<BR>\n" );
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document.write( "Graph the original equation and your equation to show as follows:\r<BR>\n" );
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document.write( "The horizontal line at y = .9 shows you that this occurs on your parallel line at around x = .3\r<BR>\n" );
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document.write( " </SPAN>\n" );
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