Draw the graph of line `x+y=5`.

Answer

To draw the graph of the line represented by the equation \( x + y = 5 \), we can follow these steps:

### Step 1: Rewrite the Equation
First, we can express the equation in a more convenient form to find the intercepts. The equation \( x + y = 5 \) can be rearranged as:
\[ y = 5 - x \]

### Step 2: Find Coordinates
Next, we will find some coordinates (points) that satisfy this equation. We can do this by substituting different values for \( x \) and calculating the corresponding \( y \) values.

1. **When \( x = 0 \)**:
\[ y = 5 - 0 = 5 \quad \Rightarrow \quad (0, 5) \]

2. **When \( y = 0 \)**:
\[ 0 = 5 - x \quad \Rightarrow \quad x = 5 \quad \Rightarrow \quad (5, 0) \]

3. **When \( x = 1 \)**:
\[ y = 5 - 1 = 4 \quad \Rightarrow \quad (1, 4) \]

4. **When \( y = 1 \)**:
\[ 1 = 5 - x \quad \Rightarrow \quad x = 4 \quad \Rightarrow \quad (4, 1) \]

### Step 3: Create a Table of Coordinates
Now, we can summarize the coordinates we found in a table:

| \( x \) | \( y \) |
|---------|---------|
| 0 | 5 |
| 5 | 0 |
| 1 | 4 |
| 4 | 1 |

### Step 4: Plot the Points
Now we will plot these points on a graph:

- Point \( (0, 5) \) is on the y-axis.
- Point \( (5, 0) \) is on the x-axis.
- Point \( (1, 4) \) is slightly to the right and down.
- Point \( (4, 1) \) is further to the right and down.

### Step 5: Draw the Line
After plotting the points, we can draw a straight line through them. This line represents the equation \( x + y = 5 \).

### Step 6: Label the Graph
Finally, label the graph with the equation of the line \( x + y = 5 \).

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