Question

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)

Answer 1

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

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 answer:-

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

2 x - y +1 = 0