Write the DDA algorithm and Bresenham Line generation Algorithm. Compare the line generation mechanism of DDA algorithm with Bresenham Line generation Algorithm while drawing a line segment from (1, 0) and (9, 8). Show step by step execution of both Line Generation algorithm, though a Graph.

The DDA (Digital Differential Analyzer) and Bresenham’s Line Drawing algorithms are fundamental techniques used in computer graphics for generating straight lines on a raster display. Both algorithms aim to convert the mathematical equation of a line into a sequence of discrete points that can be plotted on a grid. The primary difference between these two lies in the way they compute and plot the points. Let's explore these algorithms and then compare their line generation mechanisms while drawing a line from point (1, 0) to (9, 8).

### DDA Algorithm (Digital Differential Analyzer)

The Digital Differential Analyzer algorithm is based on calculating intermediate points between two endpoints of the line by stepping along one coordinate (either x or y) and calculating the other coordinate at each step. The main idea is to increment either the x or y coordinate and calculate the corresponding value of the other coordinate using the line equation.

#### Steps in DDA Line Drawing Algorithm:
1. Input: The two endpoints of the line, say \( P_1(x_1, y_1) \) and \( P_2(x_2, y_2) \).
2. Calculate the differences:
   \[
   \Delta x = x_2 - x_1
   \]
   \[
   \Delta y = y_2 - y_1
   \]
3. Determine the number of steps required:
   The number of steps is determined by the maximum of \( \Delta x \) and \( \Delta y \):
   \[
   \text{Steps} = \max(|\Delta x|, |\Delta y|)
   \]
4. Calculate the increments in x and y:
   \[
   \text{Increment in } x = \frac{\Delta x}{\text{Steps}}
   \]
   \[
   \text{Increment in } y = \frac{\Delta y}{\text{Steps}}
   \]
5. Starting from \( P_1(x_1, y_1) \), calculate the successive points using the following equations:
   \[
   x_{i+1} = x_i + \text{Increment in } x
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