Question

Identity whether the following points are collinear . (2 , 3 ) (4 , 7 ) (8 , 11 )

Answer 1

not collinear points

Explanation:

If the points are collinear ( lie on the same line ) then the slopes between adjacent points will be equal.

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)

m =
`(7-3)/(4-2)` =
`(4)/(2)` = 2

Repeat with (x₁, y₁ ) = (4, 7) and (x₂, y₂ ) = (8, 11)

m =
`(11-7)/(8-4)` =
`(4)/(4)` = 1

Since the slopes are not equal then the points are not collinear