# Straight line

let the reflection is (h,k)

mid point of (h,k) and (4,-13) lies on straight line

and slope of line and the line joining by point(h,k) and (4,-13) are perpendicular

slope of the line =-5

slope of line joining by point(h,k) and (4,-13)=(k+13)/(h-4)

so (k+13)/(h-4) * (-5) =-1

5k +65 =h-4

or h= 5k +69 ……1

and mid point lie on line

so 5(h+4)/2 + (k-13)/2 +6 = 0

or 5(h+4) + (k-13) +12 = 0

5h + k +19 =0…………..2

solve above two equation

point(-1 ,-14)