show that the points A - 11 b 5,7 and c( 7,9 )all collinear
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Step-by-step explanation:
Let A(-1, 1), B(5, 7) and C(8, 10) be the given points. Then,
(x1=−1,y1=1),(x2=5,y2=7)and(x3=8,y3=10)
∴x1(y2−y3)+x2(y3−y1)+x3(y1−y2)
=(−1)(7−10)+5(10−1)+8(1−7)
=(3+45−48)=0.
Hence, the given points are collinear.
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