document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117316>Question 117316</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078228808/algebrahomeworkh>Glencoe Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Using graph paper, graph the question and plot the given ordered pair. Then construct a perpendicular segment and find the distance from the point to the line.\r<BR>\n" );
document.write( "\n" );
document.write( "24. y = 4x, (5, 3)\r<BR>\n" );
document.write( "\n" );
document.write( "I have no idea what y = 4x could mean except that maybe y was four times whatever x was, and that was the ordered pair. If so, I have no idea how to figure out what x is. Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86200 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=86200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the given ordered pair is the point (5,3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the ordered pairs from y=4x are the ones you describe, the y value is 4 times the x value<BR>\n" );
document.write( "___ (0,0), (-1,-4), (1,4), (-3,-12), (3,12), etc. ___ these points form a line\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the distance from the point to the line is the distance along a perpendicular to the line that passes through the point\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the slope of the line is 4, so the slope of the perpendicular is -1/4<BR>\n" );
document.write( "___ the equation of the perpendicular is y-3=(-1/4)(x-5) or 4y=-x+17\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the point of intersection is found using 4(4x)=-x+17 ___ 16x=-x+17 ___ x=1, so y=4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the distance is between (1,4) and (5,3) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );