1. Show that the points are collinear and find the equation of the line through the points
1) (-5.1),(5.5),(10,7)
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let the three collinear points be (x1,y1),(x2,y2) and
(x3,y3)
the condition of collinearity is x1(y2-y3) + (y3-y1) +
x3(y1-y2)
now,
Here, the given points are (−5,1), (5,5) and (10,7)
−5(5−7)+5(7−1)+10(1−5)
=−5(−2)+5(6)+10(−4)
=10+30−40
=0
Hence, points (−5,1), (5,5) and (10,7) are collinear
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