document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238193>Question 238193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you find the b in y=mx+b </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175030 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=175030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the standard form is y = mx + b where m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "assume you are given the slope and one point on the line.\r<BR>\n" );
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document.write( "let the slope = 2\r<BR>\n" );
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document.write( "let the point = (3,5)\r<BR>\n" );
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document.write( "the standard form of y = mx + b becomes y = 2x + b\r<BR>\n" );
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document.write( "now you take the point (x,y) = (3,5) that is on the line (has to be on the line) and replace x and y in the equation with it.\r<BR>\n" );
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document.write( "the equation becomes 5 = 2*3 + b\r<BR>\n" );
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document.write( "then you solve for b.\r<BR>\n" );
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document.write( "in this case b = 5-1 = -1\r<BR>\n" );
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document.write( "your equation becomes y = 2x - 1\r<BR>\n" );
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document.write( "graph of that equation looks like:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x-1%29 ALIGN=MIDDLE  ALT=\"graph+%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b is the y intercept which is the value of y when x = 0 which is -1.\r<BR>\n" );
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document.write( "the graph confirms that.\r<BR>\n" );
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document.write( "the slope is 2 which means that everytime x increases 1 unit, y increases 2 units.\r<BR>\n" );
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document.write( "that can be seen on the graph as well.\r<BR>\n" );
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document.write( "when x = 0, y = -1.\r<BR>\n" );
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document.write( "when x = 1, y = 1\r<BR>\n" );
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document.write( "when = 2, y = 3\r<BR>\n" );
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document.write( "etc.\r<BR>\n" );
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