document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=532127>Question 532127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need to know how to put point-slope equations in standard form, Ax+By=C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350684 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=350684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the slope-intercept equation<BR>\n" );
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document.write( "y = 5/2*x + 3/2<BR>\n" );
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document.write( "multiply both sides by 2 to eliminate the fractions<BR>\n" );
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document.write( "2(y) = 2(5/2x + 3/2)<BR>\n" );
document.write( "2y = 2*5/2x + 2*3/2<BR>\n" );
document.write( "2y = 5x + 3<BR>\n" );
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document.write( "subtract 5x from both sides to get to standard form<BR>\n" );
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document.write( "-5x + 2y = 3<BR>\n" );
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document.write( "To define the point slope form of this equation requires two points.<BR>\n" );
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document.write( "Recall:   y = 5/2*x + 3/2<BR>\n" );
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document.write( "m = slope = 5/2<BR>\n" );
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document.write( "If x = 0, then y = 3/2, which is the y-intercept<BR>\n" );
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document.write( "Find the x-intercept by setting y = 0 and solving for 'x'<BR>\n" );
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document.write( "0 = 5/2*x + 3/2<BR>\n" );
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document.write( "Multiply both sides by 2 to eliminate the fractions<BR>\n" );
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document.write( "0 = 5x + 3<BR>\n" );
document.write( "-5x = 3<BR>\n" );
document.write( "x = -(3/5), which defines the point (-3/5,0)<BR>\n" );
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document.write( "You now have two points:  (0,3/2) and (-3/5,0)<BR>\n" );
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document.write( "With two points you can set up the point-slope form.<BR>\n" );
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document.write( "(y -y<sub>1</sub>) = m(x-x<sub>1</sub>)<BR>\n" );
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document.write( "From above you know the slope is 5/2, so substitute the points and the slope.<BR>\n" );
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document.write( "(3/2-0) = 5/2*(0-(-3/5)) <BR>\n" );
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document.write( "Checking this, we find.<BR>\n" );
document.write( "3/2 = 5/2*(3/5)<BR>\n" );
document.write( "3/2 = 15/10<BR>\n" );
document.write( "True<BR>\n" );
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document.write( "Done.\r<BR>\n" );
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