+1222 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 = x + 3, and A = (7,1).
+129852 Slope of the given line = 1
Slope of the perpendicular line through A = -1
Equation of this line
y = -1 (x -7) + 1
y = -x + 8
x coordinate of the intersection of these lines
x + 3 = -x + 8
2x= 5
x = 5/2 = 2.5
y = (2.5) + 3 = 5.5
B = ( 2.5 + (2.5 - 7) , 5.5 + (5.5 - 1) ) = (-2 , 10)
