Methods reported so far for the synthesis of 4-bar mechanisms with rigid links for path generation are very complex. In this paper a slotted link mechanism consisting of a flexibly attached slider is proposed for path generation. A pointer attached to the slider mass will trace a curve. Equation of motion for the slider mass and its solution are developed. The equation obtained for displacement of the slider mass is linear and can be used for the synthesis of a mechanism by closed form solution as well as for optimization through the method of least-square, etc. Example problems are included.