Find the equation of the line passing through the points A(-1,3) and B(0,2).Hence,show that the points A,B and C(1,1) are collinear.
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The line is passing through the points A(-1,3) and B(0,2)
m=y2-y1/x2-x1
= 2-3/0+1
= -1/1
= -1
∴ equation (y-y1) = m(x2-x1)
(y-3) = -1(x+1)
y-3 = -x-1
∴ X+y = 2
Now if points A,B and C are collinear then they must lie on the same straight line,which means point C must lie on the line of A and B
∴C(1,1)
Substituting the values in equation
x+y= 2
1+1= 2
2 = 2
∴ A,B and C are collinear