Question #4a5a0

1 Answer
Jan 31, 2018

#color(green)(2y + x = 10)#

Explanation:

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Given A (1,2), B (3,6). P is the base of the perpendicular bisector

Coordinates of P ((1+3)/2, (2+6)/2) = P(2,4)

Slope of AB #m_AB = (6-2) / 3-1) = 2#

Slope of perpendicular bisector #= -1 /(2)#

Equation of perpendicular bisector through P

#y - 4 = -(1/2)(x - 2)#

#color(green)(2y + x = 10)#