document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455758>Question 455758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A)draw the graph of the line that passes through the point (0,-9) and has a gradient of 4<BR>\n" );
document.write( "B) draw the line y=x on the same axes <BR>\n" );
document.write( "C) state the point of intersection<BR>\n" );
document.write( "D)solve the equations simultaneously to confirm your answer <BR>\n" );
document.write( "E) what is the equation of this line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313469 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=313469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)draw the graph of the line that passes through the point (0,-9) and has a gradient of 4<BR>\n" );
document.write( "B) draw the line y=x on the same axes <BR>\n" );
document.write( "C) state the point of intersection<BR>\n" );
document.write( "D)solve the equations simultaneously to confirm your answer <BR>\n" );
document.write( "E) what is the equation of this line?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Standard form of a straight line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "m=4<BR>\n" );
document.write( "y=4x+b<BR>\n" );
document.write( "plug in given (0,-9) coordinates to find b<BR>\n" );
document.write( "-9=4*0+b<BR>\n" );
document.write( "b=-9<BR>\n" );
document.write( "Equation of line: y=4x-9<BR>\n" );
document.write( "Point of intersection<BR>\n" );
document.write( "sub y for x<BR>\n" );
document.write( "y=4y-9<BR>\n" );
document.write( "3y=9<BR>\n" );
document.write( "y=3<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Answers:<BR>\n" );
document.write( "A)draw the graph of the line that passes through the point (0,-9) and has a gradient of 4 (see following graph)<BR>\n" );
document.write( "B) draw the line y=x on the same axes (see graph) <BR>\n" );
document.write( "C) state the point of intersection (3,3)<BR>\n" );
document.write( "D)solve the equations simultaneously to confirm your answer (see calculations above) <BR>\n" );
document.write( "E) what is the equation of this line y=4x-9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C4x-9%2Cx%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C4x-9%2Cx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );