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write the equation of the perpendicular bisector of the line segment containing the points (2,-1) and (-4,3)

User Lacop
by
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1 Answer

4 votes

Answer: y = 3x/2 + 5/2

Step-by-step explanation:

Write the slope formula m = y2 - y1

x2 - X1

Substiue { x1 = 2

{ x2 = -4 Into m =3 - (-1)

{ y1 = -1 -4 - 2

{ y2 = - 3

Calculate and you get m = -2/3

Slope of the line that is perpendicular to m = -2/3 is m = 3/2

Substitute it: ( 2 - 4 -1 + 3 )

2 2

Calculate it 2 - 4

2

Simplify -2/2 and you get -1

Calculate -1 + 3

2

Simplify it 2/2 and you get 1

Rewrite solutions as coordinates: (-1 , 1)

Substitute { m = 3/2

{ x = -1

{y = 1

y = mx + b

Calculate 1 = 3/2 x (-1)= b and you get b = 5/2

Lastly Substitute { m = 3/2 into y = mx + b

{ b = 5/2

Answer: y +3x/2 + 5/2

User Crowie
by
8.0k points

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