Find the value of y for which the points


Find the value of y for which the points A(−3, 9), B(2, y) and C(4, −5) are collinear.


Let A(x1 = −3, y1 = 9), B(x2 = 2, y2 = y) and C(x3 = 4, y3 = −5) be the given points.
The given points are collinear if



$\Rightarrow-3 y-15-28+36-4 y=0$

$\Rightarrow 7 y=36-43$

$\Rightarrow y=-1$


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