Question

Hello, please answer the question

Determine the equation of the perpendicular bisector of AB and state the coordinates of the point where the perpendicular bisector meets or intersects with the y-axis.

Gradient: -1

Midpoint : [5,1]

Coordinates for A: [3,5] , B: [7,1]

Answer 1

the equation will be in the form of:

y = -x + b

To find be take any point on the line. Hence we have (5,1) which is the midpoint where the line meets.

Therefore, substitute (5,1) in the above equation:

1 = -5 + b

b = 6

So the question of the line will be:

y = -x + 6