Show that the points p(-3/2,3 )Q(6,- 2) and R(–3, 4) are collinear.
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equation of line joining q and r will be
y - (-2) / (-2-4) = x - 6 / (6+3)
==> y + 2 / (-6) = x - 6 / 9
==> 9 y + 18 = - 6 x + 36
===> 6 x + 9 y = 18
OR 2 x + 3 y = 6
As we plug x = -3/2 and y = 3 in the above it becomes
2 ( -3/2) + 3(3) = - 3 + 9 = 6 which is on the right side
Thereby the point p lies on the line joining q and r
Hence all the three are collinear.
Step-by-step explanation:
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