Question

Find the equation of the perpendicular bisecter of the line joining the points (1,3) and (3,1).

Answer 1

Answer:

2=0

Step-by-step explanation:

l hope this helps you

Answer 2

Answer:

y = x

Step-by-step explanation:

Coordin. of mid point of the given segment is

[ ($x_{1}$ + $x_{2}$) / 2 , ($y_{1}$ + $y_{2}$) / 2]

[(3+1)/2, (3+1)/2] = (2, 2)

Slope m of given segment is

m=($y_{1}$ - $y_{2}$)/($x_{1}$ - $x_{2}$)

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

The slope of perpendicular line to slope of given segment is opposite reciprocal 1.

Point-slope equation ($y_{1}$ - $y_{2}$) = m($x_{1}$ - $x_{2}$)

y - 2 = 1 * (x - 2) ===> y = x