Question
Mon November 21, 2011 By:

sir i have a question: find the value of 'x' so that thye three points,(2,7) (6,1) (x,0)are collinear.

Expert Reply
Tue November 22, 2011
let us name the three points given as A(2,7), B(6,1) and C(x,0)
 
These 3 points will be collinear would mean that A B C form a single straight line
 
Hence the slope of the line would be the same
 
So, slope is given by the formula = y2-y1 / x2-x1
 
Slope of AB = 1-7/6-2= -6/4 = -3/2
 
Slope of BC = 0-1/x-6 = -3/2
 
So, -1/x-6 = -3/2
 
or, 2=3(x-6)
 
3x= 20
 
x=20/3 is the answer
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