Answer:
y = -x + 2.
Step-by-step explanation:
The slope of the line joining the 2 points = (5 - -1)/(3- -3)
= 6/6 = 1
So the slope of the perpendicular bisector = -1/1 = -1.
The centre of the line segment is at the point (-3+3)/2, (-1+5)/2
= (0, 2)
So the required equation is:
y - 2 = -1(x - 0)
y - 2 = -x
y = -x + 2.
