Show that the points `(a+5,a-4),(a-2,a+3)` and `(a,a)` do not lie on a straight line of any value of `a`.

Explanation

To show that the points \((a+5, a-4)\), \((a-2, a+3)\), and \((a, a)\) do not lie on a straight line for any value of \(a\), we can use the concept of the area of a triangle formed by these three points. If the area is not equal to zero, it indicates that the points are not collinear.

### Step-by-step Solution:

1. **Identify the Points**:
Let the points be:
- \(P_1 = (a + 5, a - 4)\)
- \(P_2 = (a - 2, a + 3)\)
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