document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130380>Question 130380</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780395977224/algebrahomeworkh>algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi!<BR>\n" );
document.write( "So my problem is: Write an equation for the line with slope 3 going through the point (1,-2).<BR>\n" );
document.write( "THe answer that I got for it was y=3x-b, but it was wrong.<BR>\n" );
document.write( "Please help me, Thank you=) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95218 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The reason your answer is wrong is that your equation represents an infinite number of lines, one for every possible value of b which is the set of real numbers.  You have to find the particular y-intercept that is a point on the same line that passes through the point (1,-2).\r<BR>\n" );
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document.write( "When you are given the slope and a single point, use the point-slope form of the line:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D=m%28x-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"red%28x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28y%5B1%5D%29 ALIGN=MIDDLE  ALT=\"red%28y%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the coordinates of the given point and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28m%29 ALIGN=MIDDLE  ALT=\"green%28m%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the given slope.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-red%28%28-2%29%29=green%283%29%28x-red%281%29%29 ALIGN=MIDDLE  ALT=\"y-red%28%28-2%29%29=green%283%29%28x-red%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you can either leave it like that, put it into slope-intercept form by solving for y, or put it into standard form (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2BBy=C ALIGN=MIDDLE  ALT=\"Ax%2BBy=C\"   DISABLED_style= \"max-width:90%; height:auto;\" >).\r<BR>\n" );
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document.write( "Slope-intercept form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2=3%28x-1%29 ALIGN=MIDDLE  ALT=\"y%2B2=3%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2=3x-3 ALIGN=MIDDLE  ALT=\"y%2B2=3x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x-5 ALIGN=MIDDLE  ALT=\"y=3x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (Do you see the difference between this answer and your answer?)\r<BR>\n" );
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document.write( "Standard Form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2=3%28x-1%29 ALIGN=MIDDLE  ALT=\"y%2B2=3%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2=3x-3 ALIGN=MIDDLE  ALT=\"y%2B2=3x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2By=-5 ALIGN=MIDDLE  ALT=\"-3x%2By=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-y=5 ALIGN=MIDDLE  ALT=\"3x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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