The reflection of the point (4, -13) about the line 5x + y + 6 = 0 is

Given point (4, -13)

Line is 5x + y + 6 = 0 ……(i)

Let (h, k) be the image of A w.r.t (i)

We know that P(h, k) be the image of A(x₁, y₁) w.r.t ax + by + c = 0

Then,

, k + 13

h = -1, k = -14

Image of(4, -13) is (-1, -14).