Task 7 : ( Points 10) We saw that a fundamental operation in graphics systems is to map a point (x, y) that lies within a clipping rectangle to a point (xs, ys) that lies in the viewport of a window on the screen. Assume that the two rectangles are defined by OpenGL function calls:

glViewport(u, v, w, h);

gluOrtho2D(x_min, y_min, x_max, y_max);

Find the mathematical equations that map (x, y) to (xs, ys)? (10 points)