Question

In which choice do all three points lie on the same straight line?

A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)

Answer 1

D) (0,1) (2,3) (4,5)

Explanation:

Explanation

Given Points are A(0,1) , B(2,3) , C(4,5)

slope of the AB

`= (y_(2) -y_(1) )/(x_(2)-x_(1) ) = (3-1)/(2-0) =(2)/(2) =1`

Slope of BC

`= (y_(2) -y_(1) )/(x_(2)-x_(1) ) = (5-3)/(4-2) =(2)/(2) =1`

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points