document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110231>Question 1110231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The system of equations is graphed on the coordinate plane.\r<BR>\n" );
document.write( "\n" );
document.write( "y=&#8722;1/2x&#8722;1<BR>\n" );
document.write( "y=1/4x&#8722;4\r<BR>\n" );
document.write( "\n" );
document.write( "A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3).\r<BR>\n" );
document.write( "\n" );
document.write( "Enter the coordinates of the solution to the system of equations in the boxes.\r<BR>\n" );
document.write( "\n" );
document.write( "(<BR>\n" );
document.write( ", &#8203;<BR>\n" );
document.write( ") </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725240 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=725240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Both the blue and the red lines have the same point; namely (4, -3), so that is the answer unless they are the same line, which they can't be.\r<BR>\n" );
document.write( "\n" );
document.write( "Algebraically, one can find the equation of each.\r<BR>\n" );
document.write( "\n" );
document.write( "The second part first pair has slope -3-(-4) divided by 4-0 or 1/4<BR>\n" );
document.write( "the equation uses point slope formula y-y1=m(x-x1), (x1, y1) point and m slope.<BR>\n" );
document.write( "y+4=(1/4)x<BR>\n" );
document.write( "y=(1/4)x-4<BR>\n" );
document.write( "Similarly slope red coordinates is -3-(-1) divided by 4 or -2/4 or -1/2<BR>\n" );
document.write( "y+1=(-1/2)x<BR>\n" );
document.write( "y=(-1/2)x-1<BR>\n" );
document.write( "Solution is where the two are equal<BR>\n" );
document.write( "(1/4)x-4=(-1/2)x-1<BR>\n" );
document.write( "(3/4)x=3<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "and y=-3<BR>\n" );
document.write( "(4, -3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F4%29x-4%2C%28-1%2F2%29x-1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F4%29x-4%2C%28-1%2F2%29x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );