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Answer:

  y = -1/2x +1/2

Step-by-step explanation:

Point B is 4 up and 2 over from point A. So, the midpoint will be 4/2 = 2 up and 2/2 = 1 over, at (1, 0).

The ratio of rise to run between A and B is ...

  m = rise/run = 4/2 = 2

The perpendicular line will have a slope that is the opposite reciprocal of this, -1/2.

Then the point-slope equation for the perpendicular bisector is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -0 = -1/2(x -1) . . . .line with slope -1/2 through point (1, 0)

  y = -1/2x +1/2 . . . . simplified to slope-intercept form

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