By plotting the following points on the same graph paper, check whether they are collinear or not:
`(-2,-1) (-1,-4) and (-4,1)`

Answer

To determine whether the points \((-2,-1)\), \((-1,-4)\), and \((-4,1)\) are collinear, we will follow these steps:

### Step 1: Plot the Points
1. **Identify the points**: The points we need to plot are:
- Point A: \((-2, -1)\)
- Point B: \((-1, -4)\)
- Point C: \((-4, 1)\)

2. **Draw the coordinate axes**: On a graph paper, draw the x-axis (horizontal) and y-axis (vertical).

3. **Plot Point A**: For point A \((-2, -1)\):
- Move 2 units left on the x-axis (since -2 is negative).
- Move 1 unit down on the y-axis (since -1 is negative).
- Mark the point.

4. **Plot Point B**: For point B \((-1, -4)\):
- Move 1 unit left on the x-axis.
- Move 4 units down on the y-axis.
- Mark the point.

5. **Plot Point C**: For point C \((-4, 1)\):
- Move 4 units left on the x-axis.
- Move 1 unit up on the y-axis (since 1 is positive).
- Mark the point.

### Step 2: Check for Collinearity
1. **Connect the Points**: Draw straight lines connecting points A, B, and C.

2. **Observe the Line**: Look at the line formed by connecting the points:
- If all three points lie on the same straight line, they are collinear.
- If they do not lie on the same straight line, they are non-collinear.

### Conclusion
- Upon connecting the points, you will observe that they do not form a straight line. Therefore, the points \((-2, -1)\), \((-1, -4)\), and \((-4, 1)\) are **non-collinear**.

### Final Answer
The points \((-2, -1)\), \((-1, -4)\), and \((-4, 1)\) are non-collinear.

---