Question

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

Answer 1

Answer:

not collinear points

Step-by-step 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

m = $\frac{7-3}{4-2}$ = $\frac{4}{2}$ = 2

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

m = $\frac{11-7}{8-4}$ = $\frac{4}{4}$ = 1

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