document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=989695>Question 989695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the equation y = 2x -7, write a linear equation in point slope form that is parallel to the line (5.1). Then change the equation to slope-intercept form.<BR>\n" );
document.write( "I need to understand the steps and see the answer so I know how it was figured out. This will help me to finish all the other problems. Right now I don't know if what I come up with is accurate. Thank you! Keri and Logan </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609919 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=609919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming you meant to say \"parallel to the line and it goes through (5,1)\"\r<BR>\n" );
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document.write( "Rule: Any two lines that are parallel have the same slope.\r<BR>\n" );
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document.write( "Using that rule above, we know that the parallel line has a slope of 2. This is because the slope of y = 2x-7 is 2 as well.\r<BR>\n" );
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document.write( "So m = 2 is the parallel slope\r<BR>\n" );
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document.write( "The parallel line goes through (5,1) so x = 5 and y = 1.\r<BR>\n" );
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document.write( "We will plug m = 2, x = 5 and y = 1 into y = mx+b and solve for b\r<BR>\n" );
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document.write( "y = mx+b\r<BR>\n" );
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document.write( "y = 2x+b ... replace m with 2\r<BR>\n" );
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document.write( "y = 2*5+b ... replace x with 5\r<BR>\n" );
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document.write( "1 = 2*5+b ... replace y with 1, solve for b\r<BR>\n" );
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document.write( "1 = 10+b\r<BR>\n" );
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document.write( "1-10 = 10+b-10 ... Subtract 10 from both sides.\r<BR>\n" );
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document.write( "-9 = b\r<BR>\n" );
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document.write( "b = -9\r<BR>\n" );
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document.write( "So we know that m = 2 and b = -9. Therefore the equation of the parallel line must be <font color=\"red\">y = 2x - 9</font>\r<BR>\n" );
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document.write( "Edit: Point slope form is y - y1 = m(x-x1). The line goes through (5,1) so (x1,y1) = (5,1)\r<BR>\n" );
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document.write( "y - y1 = m(x-x1) turns into y - 1 = 2(x - 5) when you plug in the given info. So the equation of the line in point slope form is y - 1 = 2(x - 5)\r<BR>\n" );
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document.write( "The equation of the line in slope intercept form is y = 2x-9. This can be found by following the steps shown above or by solving for y in y - 1 = 2(x - 5) </SPAN>\n" );
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