For what value of x are the points A


For what value of x are the points A(−3, 12), B(7, 6) and C(x, 9) collinear?


 A(−3, 12), B(7, 6) and C(x, 9) are the given points. Then:
(x1 = −3, y1 = 12), (x2 = 7, y2 = 6) and (x3 = xy3 = 9)
It is given that the points AB and C are collinear. Therefore,




$\Rightarrow 9-21+6 x=0$

$\Rightarrow 6 x-12=0$

$\Rightarrow 6 x=12$

$\Rightarrow x=\frac{12}{6}=2$

Therefore, when x= 2, the given points are collinear.


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