Connect with knowledgeable individuals and get your questions answered on IDNLearn.com. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

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 :

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