Find the value of a , if the distance between the points A (-3,-14) and B (a,-5) is 9 units.

Explanation

To find the value of \( a \) such that the distance between the points \( A(-3, -14) \) and \( B(a, -5) \) is 9 units, we can follow these steps:

### Step 1: Use the Distance Formula
The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by the formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \( A(-3, -14) \) corresponds to \( (x_1, y_1) \) and \( B(a, -5) \) corresponds to \( (x_2, y_2) \).
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