document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446391>Question 446391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine in each the gradient and equation of the line joining the two points<BR>\n" );
document.write( "Determine the co-ordinates for  the X- intercept and Y - intercept for each of the lines<BR>\n" );
document.write( "(-3,4) and (9, 12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307440 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=307440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine in each the gradient and equation of the line joining the two points<BR>\n" );
document.write( "Determine the co-ordinates for the X- intercept and Y - intercept for each of the lines<BR>\n" );
document.write( "(-3,4) and (9, 12)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Using point-slope formula to find slope or gradient as you call it.<BR>\n" );
document.write( "y1-y2=m(x1-x2)<BR>\n" );
document.write( "m=(y1-y2)/(x1-x2)=change in y/change in x<BR>\n" );
document.write( "m=(12-4)/(9-(-3))=8/12=2/3<BR>\n" );
document.write( "Standard form for equation of line: y=mx+b, m=slope, b= y-intercept<BR>\n" );
document.write( "To find b, plug in x and y from either of given points like (9,12) into the standard form, then solve for b<BR>\n" );
document.write( "12=(2/3)*9+b<BR>\n" );
document.write( "b=12-6=3<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y=(2/3)x+3<BR>\n" );
document.write( "y-intercept=3<BR>\n" );
document.write( "To find x-intercept, set y=0, then solve for x<BR>\n" );
document.write( "0=(2/3)x+3<BR>\n" );
document.write( "(2/3)x=-3<BR>\n" );
document.write( "2x=-9<BR>\n" );
document.write( "x=-9/2<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "Equation of line: y=(2/3)x+3<BR>\n" );
document.write( "y-intercept=3<BR>\n" );
document.write( "x-intercept=-9/2\r<BR>\n" );
document.write( "\n" );
document.write( "See graph of line below:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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document.write( "</TD></TR></TABLE>\n" );