Find the equation of the line that is the perpendicular bisector of AB A y=2/3x+2
B y=-2/3x+2.5
C y=-2/3x+2
D y= -2/3x+13/6

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m of AB

m = =

Given a line with slope m then the slope of a line perpendicular to it is

= - = - = -

To find the midpoint of AB use the midpoint formula

M = [ (x₁ + x₂ ), (y₁ + y₂ ) ]

with (x₁, y₁ ) = )0, 0) and (x₂, y₂ ) = (2, 3), thus

M = [ (0 + 2), (0 + 3 )] = (1, )

Partial equation of perpendicular bisector is

y = - x + c

To find c substitute (1, ) into the partial equation

= - + c ⇒ c = + =

y = - x + → D

step-by-step explanation:

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