document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73232>Question 73232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HOW DO U FIND THE SLOPE AND Y-INTERCEPT OF A LINE WRITTEN IN THE Y-FORM? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52454 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=52454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Y=mX+b IS THE LINE FORMULA WHERE X&Y ARE A SET OF POINTS, m=SLOPE & b=THE Y INTERCEPT.<BR>\n" );
document.write( "IF YOU HAVE A SLOPE & A POINT YOU CAN FIND THE Y INTERCEPT THUS:<BR>\n" );
document.write( "POINT IS (2,-4) & THE SLOPE IS 2. NOW SUBSTITUTE THESE FACTS AND SOLVE FOR THE Y INTERCEPT(b)<BR>\n" );
document.write( "-4=2*2+b<BR>\n" );
document.write( "-4=4+b<BR>\n" );
document.write( "b=-4-4<BR>\n" );
document.write( "b=-8 SO THE EQUATION OF THIS LINE IS <BR>\n" );
document.write( "Y=2X-8<BR>\n" );
document.write( "-----------------------------------------------------<BR>\n" );
document.write( "ANOTHER APPROACH IS IF YOU HAVE TWO SETS OF POINTS (-1,3) & (3,-5).<BR>\n" );
document.write( "YOU FIRST NEED TO FIND THE SLOPE THUS:<BR>\n" );
document.write( "(Y2-Y1)/X2-X1)<BR>\n" );
document.write( "(-5-3)/(3+1)<BR>\n" );
document.write( "-8/4<BR>\n" );
document.write( "-2 IS THE SLOPE OF A LINE THROUGH THESE TWO SETS OF POINTS.<BR>\n" );
document.write( "NOW USE THE SLOPE & ONE SET OF POINTS & SOLVE FOR THE Y INTERCEPTtHUS:<BR>\n" );
document.write( "3=-2*-1+b<BR>\n" );
document.write( "3=2+b<BR>\n" );
document.write( "b=3-2<BR>\n" );
document.write( "b=1 SO THE LINE EQUATION IS<BR>\n" );
document.write( "Y=-2X+1<BR>\n" );
document.write( "-----------------------------------------------------------------------<BR>\n" );
document.write( "HERE ARE THE PLOTS OF THESE TWO EXAMPLES:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+-8%2C+y+=+-2x+%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+-8%2C+y+=+-2x+%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 2x -8 and y = -2x +1). <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );