document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=653397>Question 653397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line that passes through (2, 2) and (6, 3) in standard form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408382 by </B><A HREF=/tutors/aboutme.mpl?userid=VirtualMathTutor><B>VirtualMathTutor(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VirtualMathTutor><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=VirtualMathTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=408382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the equation of the line passing through the point (2, 2) and (6, 3), start by finding the slope using the slope formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2+-+y1%29%2F%28x2+-+x1%29 ALIGN=MIDDLE  ALT=\"%28y2+-+y1%29%2F%28x2+-+x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Label the points given:\r<BR>\n" );
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document.write( "x1 = 2<BR>\n" );
document.write( "y1 = 2<BR>\n" );
document.write( "x2 = 6<BR>\n" );
document.write( "y2 = 3\r<BR>\n" );
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document.write( "Substitute these values into the formula:\r<BR>\n" );
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document.write( "m=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283+-+2%29%2F%286+-+2%29 ALIGN=MIDDLE  ALT=\"%283+-+2%29%2F%286+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that we have the slope m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will use the formula \r<BR>\n" );
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document.write( "y - y1 = m(x - x1)\r<BR>\n" );
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document.write( "y - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - 2)\r<BR>\n" );
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document.write( "Multiply both sides by 4 to get rid of the fraction:\r<BR>\n" );
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document.write( "4(y - 2) = x - 2\r<BR>\n" );
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document.write( "Simplify\r<BR>\n" );
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document.write( "4y - 8 = x - 2\r<BR>\n" );
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document.write( "Add 8 to both sides:\r<BR>\n" );
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document.write( "4y = x - 2 + 8\r<BR>\n" );
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document.write( "Subtract x from both sides:\r<BR>\n" );
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document.write( "4y - x = -2 + 8\r<BR>\n" );
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document.write( "Simplify\r<BR>\n" );
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document.write( "4y - x = 6 </SPAN>\n" );
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