From the following problem or exploration, derive the formula for point of division or parametric form of straight line equation.
Find out how to locate a point C on a segment according to the fraction a segment the point creates.
See also an applet of morphing. http://ggbm.at/TVcFprWk
Also a unit on coordinate geometry in a Junior Sec Math package -> http://resources.edb.hkedcity.net/%7Ejsmaths/broadband/flash/template/template.htm?goHelp=false&lang=ch