document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=774865>Question 774865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the length of the segment of line 3x+ 4y = 12 that is in the first quadrant? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472485 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=472485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "what is the length of the segment of line 3x+ 4y = 12 that is in the first quadrant?<BR>\n" );
document.write( "--------------------------------------------------------------------<BR>\n" );
document.write( "A:<BR>\n" );
document.write( "First we get the x-intercept:<BR>\n" );
document.write( "Let y = 0 and solve for x<BR>\n" );
document.write( "3x + 4(0) = 12<BR>\n" );
document.write( "3x = 12<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "The x-intercept is (4,0)<BR>\n" );
document.write( "Next, we get the y-intercept:<BR>\n" );
document.write( "Let x = 0 and solve for y<BR>\n" );
document.write( "3(0) + 4y = 12<BR>\n" );
document.write( "4y = 12<BR>\n" );
document.write( "y = 3<BR>\n" );
document.write( "The y-intercept is (0,3).<BR>\n" );
document.write( "Finally, we get the distance between the x and y-intercept using the<BR>\n" );
document.write( "distance formula.<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%283-0%29%5E2+%2B+%280+-+4%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%283-0%29%5E2+%2B+%280+-+4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%29 ALIGN=MIDDLE  ALT=\"highlight%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%29 ALIGN=MIDDLE  ALT=\"highlight%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );