Question

If the points (2,0),(1,x) and(3,1) are collinear then

Answer 1

Step-by-step explanation:

Let the given point A(2,0),B(1,x),C(3,1)

Slope of AB=(y2-y1)/(x2-x1)

=x-0/1-2

=x/-1

Slope of BC=y2-y1/x2-x1

=1-x/3-1

=1-x/2

Because given points are collinear,the slope of AB and BC are equal

x/-1=1-x/2

2x=-1(1-x)

2x=-1+x

2x-x=-1

x=-1