Given the points A(1,7),B(7,5) and C(0,-2).

Question

(i)Find the equation of the perpendicular bisector of AB
(ii)Find the slope of BC

Answer 1

A(1,7), M(x,y), B(7,5), C(0,-2).

1. x = (1+7) / 2 = 4.
y = (7+5) / 2 = 6.

m1 = (5-7) / (7-1) = -1/3.

m2 = -(-3/1) = 3. = Negative reciprocal of mi.

Y = mx + b.
3*4 + b = 6.
b = -6.

Eq: Y = 3x - 6.

2. m = (-2-5) / (0-7) = 1.