Tylor W.

asked • 02/14/19

What is the equation of the perpendicular bisector of the segment joining points A(2, 2) and B(6, 8)?

 A.)y equals start fraction two over three end fraction x plus start fraction 23 over three end fraction

B.) y equals negative start fraction two over three end fraction x plus one

C.) y equals negative start fraction two over three end fraction x plus start fraction 23 over three end fraction

 D.)y equals negative start fraction three over two end fraction x plus nine

1 Expert Answer

By:

Doug C. answered • 02/18/19

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The midpoint of segment AB is (4,5) using the midpoint formula.

The slope of segment AB is 3/2 using the formula for slope of a line through 2 given points.


So the equation of the perpendicular bisector has a slope of -2/3 (negative reciprocal of the slope of seg AB).. The perpendicular bisector passes through the midpoint.


So, m = -2/3 passing through (4,5). Use point slope formula to write the equation:


y - 5 = -2/3 (x -4)


To get one of the multiple choice answers you might have to put that equation in slope-intercept form.

y - 5 = -2/3x +8/3

y = -2/3x + 8/3 + 15/3

y = -2/3x + 23/3


Take a look at::

https://www.desmos.com/calculator/nyr6kuqigg



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