Write an equation of the perpendicular bisector of the segment with endpoints (−1, −5) and (3, −1).
Please do it on paper if possible then put the picture in.

y = -1/2x + 5/2

Step-by-step explanation:

Mid-point = ((-1 + 3) / 2 , (-5 + -1 )/ 2)

= (1 , -3)

Gradient = (-1 - -5 )/(-3 - -5)

= 2

m1_ = -1/2

y = mx + b    ( we have to find b)

y = -1/2 x + b     (we will use mid point x = x and y = y)

-3 = -1/2 (1) + b

-3 = -0.5 + b

b = -3 + 0.5

b = -5/2

so,

y = -1/2x + 5/2

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

answer: it is d

step-by-step explanation: