Question

if the points (-2,1),(a, b) and(4,-1)are collinear and a-b= 1, then find value of and b

Answer 1

HELLO USER!!
HERE IS YOUR ANSWER in the attachment

value of
a=1
b=0

(a, b) = (1,0)

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Answer 2

Answer:

a=1 and b=0

Step-by-step explanation:

given: a-b=1           eq:1

area of triangle=0

1/2[x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)=0

-2[(b+1)+a(-1-1)+4(1-b)]=0

-2b-2-2a+4-4b=0

-b-1-a-2b=0                    ( dividing by 2)

-a-3b=0

a+3b=0               eq:2

subtracting equation 1 from 2

a+3b-(a-b)=1-1

b=0

and a=1