A rectangle is bound by the lines x = 0; y = 0; x = 5 and y = 3. The line segment joining (-1, 0) and (4, 5), if clipped against this window will connect the points _______.

Given:

Rectangle is bound by the lines x =0 , y = 0 , x = 5 and y = 3.

We follow the pattern of

Steps:

1) As P lies in the left of window. So region for this will be : 0001

2) Q point lies in the top of the window, So, region for this will be : 1000

3) Logical AND of 0001 AND 1000 = 0000 i.e. line is partially inside the window.

4) Slope of the line PQ = (5-0)/(4-(-1)) = 5/5 = 1

5) Now, we have to find the coordinates of P’ , Slope of P’Q’ is same as slope of PQ.

6) So, we have to find the y coordinate as x coordinate is 0.

(5- y’)/(4-0) = 1 , 5- y’ = 4, y’ = 1

Coordinates of P’ will be (0,1).

7) Next we have to find the coordinates of point Q’. For this , y coordinate we already know. i.e. 3

8) So, (5 - 3)/ (4- x’) = 1 , 2 = 4 – x’ , x’ = 2

Coordinates of point Q’ will be (2,3).

So, The line segment joining (-1, 0) and (4, 5), if clipped against this window will connect the points (0,1 ) and (2, 3).