Find the value of k if the points(a,1),(1,-1) and (11,4)are collinear?
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Step-by-step explanation:
The 3 points are collinear
=> slope from (1, -1) to (11, 4) = slope from (1, -1) to (a, 1)
=> ( 4 - (-1) ) / ( 11 - 1 ) = ( 1 - (-1) ) / ( a - 1 )
=> 5 / 10 = 2 / ( a - 1 )
=> 1 / 2 = 2 / ( a - 1 )
=> a - 1 = 2×2 = 4
=> a= 4 + 1 = 5
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