Find the image of the point `(4,-13)` in the line `5x+y+6=0.`

Explanation

Given line is `5x + y + 6 = 0`


Let the reflection of `(4, -13) `be `(h, k).`


Then `(h – x_1 )/a = (k – y_1)/b = -2(ax_1 + b y_1 + c)/(a2 + b2)`


Here `x_1 = 4` and `y_1= -13`


...