document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117997>Question 117997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of each line. Write each answer in clope intercept form.\r<BR>\n" );
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document.write( "The line is parallel to -3x + 2y = 9 and contains the point (-2,-1).<BR>\n" );
document.write( "I got 2y=-3x + 9  which is slope intercept form<BR>\n" );
document.write( "answer I got was y= 3/2x + 4  which is incorrect </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86034 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=86034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the line having the equation:<BR>\n" );
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document.write( "-3x + 2y = 9<BR>\n" );
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document.write( "To find a line parallel to this you need to first determine the slope of the given line. One<BR>\n" );
document.write( "way to do that is to convert the equation of the given line into slope-intercept form.<BR>\n" );
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document.write( "Start with the equation given. Isolate the term containing y on the left side by getting rid<BR>\n" );
document.write( "of the -3x term on the left side. You can do that by adding +3x to both sides. This addition<BR>\n" );
document.write( "converts the given equation to:<BR>\n" );
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document.write( "2y = 3x + 9<BR>\n" );
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document.write( "Solve for y by dividing both sides (all terms) by 2 to get:<BR>\n" );
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document.write( "y = (3/2)x + 9/2<BR>\n" );
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document.write( "This is now in slope intercept form and you can tell from this form that the slope of the<BR>\n" );
document.write( "line it defines is (3/2). So any parallel line will have the same slope. Therefore,<BR>\n" );
document.write( "a parallel line will have a slope intercept equation of the form:<BR>\n" );
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document.write( "y = (3/2)x + b<BR>\n" );
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document.write( "Then you are told that the parallel line must go through the point (-2, -1). That means that<BR>\n" );
document.write( "the equation must be satisfied if x = -2 and y = -1. Substitute these two values appropriately<BR>\n" );
document.write( "into the slope intercept equation for this parallel line and you have:<BR>\n" );
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document.write( "-1 = (3/2)(-2) + b<BR>\n" );
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document.write( "Do the multiplication on the right side and you have:<BR>\n" );
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document.write( "-1 = (3*(-2))/2 + b<BR>\n" );
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document.write( "which further simplifies to:<BR>\n" );
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document.write( "-1 = -3 + b<BR>\n" );
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document.write( "Solve for b by adding +3 to both sides:<BR>\n" );
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document.write( "+2 = b<BR>\n" );
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document.write( "Now that you know b = +2 you can return to the slope intercept form for the parallel line:<BR>\n" );
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document.write( "y = (3/2)x + b<BR>\n" );
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document.write( "and substitute +2 for b to get the slope intercept form of the equation that you are looking for as:<BR>\n" );
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document.write( "y = (3/2)x + 2<BR>\n" );
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document.write( "This is the equation of a line that is parallel to the given line. It intercepts the y-axis<BR>\n" );
document.write( "at +2 and its slope is 3/2. It also passes through the point (-2, -1) as required by<BR>\n" );
document.write( "the problem. <BR>\n" );
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document.write( "You can get your answer into standard form. Begin by multiplying both sides of the slope<BR>\n" );
document.write( "intercept form (all terms) by 2 to get rid of the denominator 2. That multiplication<BR>\n" );
document.write( "results in the slope intercept form becoming:<BR>\n" );
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document.write( "2y = 3x + 4<BR>\n" );
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document.write( "Get rid of the 3x on the right side by subtracting 3x from both sides and you have:<BR>\n" );
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document.write( "-3x + 2y = 4<BR>\n" );
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document.write( "This is the standard form of the answer.<BR>\n" );
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document.write( "Hope this helps you to find the source of your error so that you can make a correction.<BR>\n" );
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