document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188641>Question 1188641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line whose slope is 3/2 and which passes through P, where P divides the line segment joining A(-2,6) and B(3,-4) in the ratio 2:3 internally. </SPAN>\n" );
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document.write( "Technically the statement of the problem is insufficient -- we don't know for sure whether the ratio 2:3 is AP:PB or BP:PA.<br><BR>\n" );
document.write( "I will guess that AP:PB = 2:3.<br><BR>\n" );
document.write( "From A to B is a change of +5 in the x direction and -10 in the y direction.<BR>\n" );
document.write( "P is (2/(2+3)) = 2/5 of the way from A to B.<BR>\n" );
document.write( "2/5 of 5 is 2; 2/5 of -10 is -4.<BR>\n" );
document.write( "The x coordinate of P is -2+2=0; the y coordinate is 6+(-4)=2.<br><BR>\n" );
document.write( "So we have a line through (0,2) with slope of 3/2.  Since (0,2) is the y-intercept, you can plug the values directly into the slope-intercept form of the equation.<br><BR>\n" );
document.write( "y = mx+b<br><BR>\n" );
document.write( "y = (3/2)x+2<br><BR>\n" );
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