讲解下这个题目---**Example 9**
**Problem Description:**
As shown in the figure, the analytical expression of line l1 is: y = -3x + 3, and l1 intersects the x-axis at point D. Line l2 passes through points A and B, and lines l1 and l2 intersect at point C.
**Figure Description:**
* Type: Coordinate plane diagram with two lines.
* Coordinate System: X-axis and Y-axis intersecting at the origin O.
* Lines:
* Line l1: Passes through the y-axis at point (0, 3) and intersects the x-axis at point D. It has a negative slope.
* Line l2: Passes through point A and point B. It has a positive slope.
* Points:
* O: Origin (0,0).
* A: Labeled with coordinates (4,0) on the x-axis.
* D: Intersection of line l1 and the x-axis.
* B: A point on line l2. Its exact coordinates are not labeled, but it is indicated below the x-axis and to the left of A. A horizontal dashed line from B intersects the y-axis at y = 3/2. A vertical dashed line from B appears to intersect the x-axis somewhere between O and D.
* C: Intersection point of line l1 and line l2. It is located in the fourth quadrant.
* Labels/Annotations:
* 'l1' labeling the line with negative slope.
* 'l2' labeling the line with positive slope.
* 'y' labeling the vertical axis.
* 'x' labeling the horizontal axis.
* 'O' labeling the origin.
* 'D' labeling the x-intercept of l1.
* 'A(4,0)' labeling the point A on the x-axis.
* 'B' labeling a point on l2.
* 'C' labeling the intersection of l1 and l2.
* '3' labeled on the y-axis indicating the y-intercept of l1.
* '3/2' labeled on the y-axis, associated with a dashed line from point B.
**Questions:**
(1) Find the coordinates of point D;
(2) Find the analytical expression of line l2;
(3) Find the area of triangle ADC;
(4) On line l2, there is another point P different from point C, such that the area of triangle ADP is equal to the area of triangle ADC. Please directly write the coordinates of point P.