Question

The given line segment has a midpoint at (3, 1).

Answer 1

An equation is formed of two equal expressions. The equation of the perpendicular bisector is y=(1/3)x.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation of the line that passes through  (2, 4), (3, 1), and (4,-2), are,

m = (4-1)/(2-3) = 3/-1 = -3

Since the product of the slope of two perpendicular lines is -1. The slope of the perpendicular line is,

m₁m₂ = -1

(-3) m₂ = -1

m₂ = 1/3

Since the line is the perpendicular bisector it will pass through midpoint,

1 = (1/3)(3) + C

1 = 1 + C

C = 0

Hence, the equation of the perpendicular bisector is y=(1/3)x.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1