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Question

Find the values of p for which the points (5,1),(1,p) and (4,2) are collinear.

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Solution

x=5
x=1
x=4
y=1
y=p
y=2
For the points to be collinear :
x(yy)+x(yy)+x(yy)=0
5p(2)+1(21)+4(1p)=0
5(p+2)+1(3)+4(1p)=0
5p103+44p=0
9p9=0
9p=9
p=9/9
p=1

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