document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151104>Question 1151104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two lines with slopes 3 and -4 intersect at a point P on the y-axis.If their x-intercepts are 14 units apart, find the distance of P from the origin.  </SPAN>\n" );
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document.write( "Call the coordinates of point P (0,b).<br><BR>\n" );
document.write( "Find the x intercept of a line with slope 3 passing through P(0,b):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-0%29%2F%280-x%29+=+3 ALIGN=MIDDLE  ALT=\"%28b-0%29%2F%280-x%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F%28-x%29+=+3 ALIGN=MIDDLE  ALT=\"b%2F%28-x%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-3x ALIGN=MIDDLE  ALT=\"b+=+-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1%2F3%29b ALIGN=MIDDLE  ALT=\"x+=+%28-1%2F3%29b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Find the x intercept of a line with slope -4 passing through P(0,b):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-0%29%2F%280-x%29+=+-4 ALIGN=MIDDLE  ALT=\"%28b-0%29%2F%280-x%29+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F%28-x%29+=+-4 ALIGN=MIDDLE  ALT=\"b%2F%28-x%29+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+4x ALIGN=MIDDLE  ALT=\"b+=+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F4%29b ALIGN=MIDDLE  ALT=\"x+=+%281%2F4%29b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use the fact that the two x-intercepts are 14 units apart to determine b.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29b-%28-1%2F3%29b+=+14 ALIGN=MIDDLE  ALT=\"%281%2F4%29b-%28-1%2F3%29b+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29b%2B%281%2F3%29b+=+14 ALIGN=MIDDLE  ALT=\"%281%2F4%29b%2B%281%2F3%29b+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F12%29b+=+14 ALIGN=MIDDLE  ALT=\"%287%2F12%29b+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%2812%2F7%29%2A14+=+12%2A2+=+24 ALIGN=MIDDLE  ALT=\"b+=+%2812%2F7%29%2A14+=+12%2A2+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The distance of P from the origin is b = 24.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );