Find the image of the point `(-8,12)` with respect to line mirror `4x+7y+13=0.`

Explanation

To find the image of the point \((-8, 12)\) with respect to the line \(4x + 7y + 13 = 0\), we can follow these steps:

### Step 1: Identify the given point and the line
The given point is \(P(-8, 12)\) and the line is represented by the equation \(4x + 7y + 13 = 0\).

### Step 2: Find the slope of the line
The slope \(m\) of the line can be found from the equation in the form \(y = mx + c\). Rearranging the line equation gives:
\[
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