document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026750>Question 1026750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of a line , if the line passes through (2,2) and the y-int. is twice the x-int. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642048 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=642048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> slope intercept form of the equation for a straight line is y = mx + b.\r<BR>\n" );
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document.write( "m is the slope.<BR>\n" );
document.write( "b is the y-intercept.\r<BR>\n" );
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document.write( "since the line passes through the point (2,2), you can replace y with 2 and x with 2 to get:\r<BR>\n" );
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document.write( "2 = 2m + b\r<BR>\n" );
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document.write( "since b = 2m, you can replace b with 2m to get:\r<BR>\n" );
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document.write( "2 = 2m + 2m\r<BR>\n" );
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document.write( "combine line terms to get 2 = 4m.\r<BR>\n" );
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document.write( "divide both sides by 4 to get 2/4 = m.\r<BR>\n" );
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document.write( "simplify to get m = 1/2.\r<BR>\n" );
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document.write( "since b = 2m, then b = 1.\r<BR>\n" );
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document.write( "your equation is y = 1/2 * x + 1.\r<BR>\n" );
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document.write( "here's a graph of your equation.\r<BR>\n" );
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document.write( "you can see that the line passes through the point (2,2 and has a y-intercept of 1.\r<BR>\n" );
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document.write( "you can also see that the slope is 1/2 by taking the 2 points indicated and solving for the slope.\r<BR>\n" );
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document.write( "one of the points is (2,2) and the other point is (0,1).\r<BR>\n" );
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document.write( "y2 = (2,2)<BR>\n" );
document.write( "y1 = (0,1)\r<BR>\n" );
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document.write( "y2-y1 = 1<BR>\n" );
document.write( "x2-x1 = 2\r<BR>\n" );
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document.write( "slope is equal to (y2-y1) / (x2-x1) = 1/2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/032701.jpg\" alt=\"$$$\" </> </SPAN>\n" );
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