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quester [9]
2 years ago
13

Write an equation of the perpendicular bisector of the segment with endpoints

Mathematics
1 answer:
oee [108]2 years ago
7 0

Answer:

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

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