document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979149>Question 979149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The slope of a straight line through A (3,2) is 3/4 . Find the coordinates of the points on the line that are 5 units away from A . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600445 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=600445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Point-slope equation form gives the equation for this line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2=%283%2F4%29%28x-3%29 ALIGN=MIDDLE  ALT=\"y-2=%283%2F4%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Change into slope-intercept form:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F4%29%28x-3%29%2B2 ALIGN=MIDDLE  ALT=\"y=%283%2F4%29%28x-3%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F4%29x-9%2F4%2B2 ALIGN=MIDDLE  ALT=\"y=%283%2F4%29x-9%2F4%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F4%29x-9%2F4%2B8%2F4 ALIGN=MIDDLE  ALT=\"y=%283%2F4%29x-9%2F4%2B8%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F4%29x-1%2F4 ALIGN=MIDDLE  ALT=\"y=%283%2F4%29x-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------which is a general point,  (x, (3/4)x-1/4), ordered pair.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the distance formula to help find the coordinates of the point on this line, five units distance from A(3,2).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%283x%2F4-1%2F4-2%29%5E2%2B%28x-3%29%5E2%29=5 ALIGN=MIDDLE  ALT=\"sqrt%28%283x%2F4-1%2F4-2%29%5E2%2B%28x-3%29%5E2%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you can understand this use of the distance formula, this understanding IS GOOD.   Simplify it and solve for x.  You will find two values, which are the x coordinates for the point you want.  Use each of them to find the corresponding y coordinates.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I did not finish this myself, but you definitely should try to do it. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );