Find the midpoint of PQ. Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector of PQ. P(-5,-5), Q(3,3)

Equation of the line  that passes through the midpoint and is perpendicular to PQ is   2 x - y +1 = 0

Step-by-step explanation:

Step(i):-

Given points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ= Step(ii):- Slope of PQ

The slope of the line is Perpendicular to PQ

Equation of the line  that passes through the midpoint and is perpendicular to PQ

2 x - y +1 = 0

Final -

Equation of the line  that passes through the midpoint and is perpendicular to PQ

2 x - y +1 = 0

the answer is 13 cm