+845 The point A has the coordinates (2, 5)
The point B has the coordinates (6, 7)
(a) Find the midpoint of AB
(b) The equation of AB is y = 1/2x + 4
Find the equation of the perpendicular bisector to AB
+130077 (2,5) and (6,7)
Midpoint is [ (2 + 6) / 2 , (7 + 5)/ 2 ] = [ 8/2, 12/2 ] = [4, 6 ]
And the perpendicular bisector will pass through this point
And the perpendicular bisector will have a negative reciprocal slope to the given line = - 2/1 = -2
So......the equation of the perpendicular bisector is :
y = -2 (x - 4) + 6
y = -2x + 8 + 6
y = -2x + 14
Here's a graph : https://www.desmos.com/calculator/ehlzdpzpkp
