Point of Division

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. [url=http://ggbm.at/TVcFprWk]http://ggbm.at/TVcFprWk[/url] [br]Also a unit on coordinate geometry in a [url=http://resources.edb.hkedcity.net/%7Ejsmaths/broadband/flash/template/template.htm?goHelp=false&lang=ch]Junior Sec Math package[/url] -> http://resources.edb.hkedcity.net/%7Ejsmaths/broadband/flash/template/template.htm?goHelp=false&lang=ch

Information: Point of Division