+432 Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
The line is y = 3x - 2, and A = (-5,6).
+129630 A line through (-5.6) perpendicular to the given equation has the equation
y = -(1/3) (x + 5) + 6 → -(1/3)x + 13/3
Set this equal to the given equation to find the x intersection of these lines
3x - 2 = -(1/3)x + 13/3
(10/3)x = 19/3
x = 1.9
y = 3(1.9) - 2 = 3.7
The reflected point B is
( 1.9 + (1.9 - - 5) , 3.7 + (3.7 - 6) = (1.9 + 6.9 , 3.7 - 2.3) = (8.8 , 1.4)
