document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929360>Question 929360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me please??  thank you.\r<BR>\n" );
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document.write( "Consider the points A(-2, 5), B(2, -3), C(8, 0), and P(4, 3). P is on the bisector of <ABC. Write an equation of the line in point-slope form that contains the bisector of <ABC. .\r<BR>\n" );
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document.write( "thanks !! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564267 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=564267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A(-2, 5), B(2, -3), C(8, 0), and P(4, 3). <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Cgrid%281%29%2C%0D%0Ablue%28line%28-2%2C5%2C2%2C-3%29%29%2C%0D%0Ablue%28line%282%2C-3%2C8%2C0%29%29%2C%0D%0Acircle%28-2%2C5%2C0.2%29%2Ccircle%282%2C-3%2C0.2%29%2Ccircle%288%2C0%2C0.2%29%2Ccircle%284%2C3%2C0.2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the slope of AB and BC.<BR>\n" );
document.write( "AB:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-3-5%29%2F%282-%28-2%29%29=-8%2F4=-2 ALIGN=MIDDLE  ALT=\"m=%28-3-5%29%2F%282-%28-2%29%29=-8%2F4=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "BC:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%280-%28-3%29%29%2F%288-2%29=3%2F6=1%2F2 ALIGN=MIDDLE  ALT=\"m=%280-%28-3%29%29%2F%288-2%29=3%2F6=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "AB and BC are perpendicular since their slopes are negative reciprocals.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%281%2F2%29=-1 ALIGN=MIDDLE  ALT=\"%28-2%29%281%2F2%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The angle between the two lines is then 90 so a bisector would split the angle into 2 45 degree segments.<BR>\n" );
document.write( "The line BC makes an angle with the x-axis determined by the slope.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28alpha%29=1%2F2 ALIGN=MIDDLE  ALT=\"tan%28alpha%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha=26.6 ALIGN=MIDDLE  ALT=\"alpha=26.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=degrees ALIGN=MIDDLE  ALT=\"degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45 ALIGN=MIDDLE  ALT=\"45\"   DISABLED_style= \"max-width:90%; height:auto;\" > to this and then taking the tangent to find the slope,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=tan%28alpha%2B45%29=tan%2871.6%29=3 ALIGN=MIDDLE  ALT=\"m=tan%28alpha%2B45%29=tan%2871.6%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using the point slope form of a line with point B,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-3%29=3%28x-2%29 ALIGN=MIDDLE  ALT=\"y-%28-3%29=3%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B3=3x-6 ALIGN=MIDDLE  ALT=\"y%2B3=3x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=3x-9%29 ALIGN=MIDDLE  ALT=\"highlight%28y=3x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Cgrid%281%29%2C%0D%0Ablue%28line%28-2%2C5%2C2%2C-3%29%29%2C%0D%0Ablue%28line%282%2C-3%2C8%2C0%29%29%2C%0D%0Acircle%28-2%2C5%2C0.2%29%2Ccircle%282%2C-3%2C0.2%29%2Ccircle%288%2C0%2C0.2%29%2Ccircle%284%2C3%2C0.2%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2C3x-9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You could have also used point P and found the slope of BP.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%283-%28-3%29%29%2F%284-2%29=6%2F2=3 ALIGN=MIDDLE  ALT=\"m=%283-%28-3%29%29%2F%284-2%29=6%2F2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Continuing the same way as shown previously. </SPAN>\n" );
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