Question

If the points A (x, 2), B(-3,-4) and C(7,-5) are collinear, then the value of x is

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Answer 1

Answer:

Given points are A(x,2)B(−3,−4)C(7,−5)

(x

1

,y

1

)=(x,2),(x

2

,y

2

)=(−3,−4)(x

3

,y

3

)=(7,−5)

x

1

[y

2

−y

3

]+x

2

[y

3

−y

1

]+x

3

[y

1

−y

2

]=0

x[(−4)−(−5)]+(−3)[(−5)−2]+7[2−(−4)]=0

x(−4+5)−3(−5−2)+7(2+4)=0

x(1)−3(−7)+7(6)=0

x+21+42=0

x+63=0

x=−63

∴ The value of x is −63.

Step-by-step explanation:

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