Use the table below to draw a linear graph.

(a) The number of days a hillside city received snow in different years:

\begin{tabular}{|c|c|c|c|c|}
\hline Year & 2003 & 2004 & 2005 & 2006 \\
\hline Days & 8 & 10 & 5 & 12 \\
\hline
\end{tabular}



Answer :

Certainly! Let's draw a linear graph representing the number of days a hillside city received snow in different years.

### Steps to Draw the Linear Graph

1. Prepare the Data:
- Years: 2003, 2004, 2005, 2006
- Days of Snow: 8, 10, 5, 12

2. Set Up the Axes:
- The horizontal axis (x-axis) will represent the years.
- The vertical axis (y-axis) will represent the number of days of snow.

3. Label the Axes:
- Label the x-axis as "Year".
- Label the y-axis as "Days of Snow".

4. Plot the Data Points:
- Plot the points for each year:
- (2003, 8)
- (2004, 10)
- (2005, 5)
- (2006, 12)

5. Draw the Graph:
- Connect each data point with a straight line to show the trend over the years.

6. Add a Title:
- Title the graph "Days of Snow in Hill Side City Over Different Years".

### Detailed Step-by-Step Process

1. Create the Axis Scales:
- For the years, you might choose a range from 2002 to 2007 to ensure all data points fit well.
- For the days of snow, you might choose a range from 0 to 15, ensuring all the data points are clearly visible.

2. Mark the Data Points:
- On the x-axis, mark the years: 2003, 2004, 2005, and 2006.
- On the y-axis, mark the values from 0 to 15.

3. Plot the Points:
- 2003: Move to the point 2003 on the x-axis, then move up to 8 on the y-axis. Mark this point.
- 2004: Move to the point 2004 on the x-axis, then move up to 10 on the y-axis. Mark this point.
- 2005: Move to the point 2005 on the x-axis, then move up to 5 on the y-axis. Mark this point.
- 2006: Move to the point 2006 on the x-axis, then move up to 12 on the y-axis. Mark this point.

4. Draw the Lines:
- Connect these points with straight lines in sequence: from 2003 to 2004, then 2004 to 2005, and so on.

5. Final Graph:

Here is how you can visualize it:

```plaintext
Days of Snow
|
15 |
14 |
13 |
12 |
11 |
10 |

9 |
8 |
7 |
6 |
5 |

4 |
3 |
2 |
1 |
0 |_____________________________________________ Year
2002 2003 2004 2005 2006 2007
```

In this sketch:
- The points at (2003, 8), (2004, 10), (2005, 5), and (2006, 12) are marked with asterisks.
- Lines connecting these points indicate the trend of snow days over the years.

By following these steps, you can create a clear and informative linear graph that represents the data accurately.