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Equation of the perpendicular bisector of the given segment by following these steps

Equation Of The Perpendicular Bisector Of The Given Segment By Following These Steps class=

Sagot :

Mathstudent55idn

Answer:

y = -2/3 x + 1

Step-by-step explanation:

endpoints of given segment: (-2, 2) and (2, 4)

slope of given segment: [4 - (-2)]/[2 -(-2)] = 6/4 = 3/2

slope of perpendicular bisector: -2/3

midpoint of given segment: ( (-2 + 2)/2, (-2 + 4)/2 ) = (0, 1)

The perpendicular bisector of the segment has slope -2/3 and passes through the point (0, 1)

y = mx + b

1 = (-2/3) × 0 + b

b = 1

Equation:

y = -2/3 x + 1

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