Question

A , B and C have coordinates ( 2 , 9 ) , ( 10 , − 7 ) and ( 6 , p ) respectively. Line A B is perpen- dicular to line B C . Then the value of p is

Answer 1

Answer:

-9

Step-by-step explanation

product of slopes of AB and BC is -1 and solve.

Answer 2

slope of ab will be 9-(-7)/2-10= 16/-8=-2

similarly, slope of bc will be p-(-7)/6-10 = p+7/-4

now m1m2=-1 condition of perpendicularity

so -2×p+7/-4=-1 then p=-9