Respuesta :

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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

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

m = [tex]\frac{7-3}{4-2}[/tex] = [tex]\frac{4}{2}[/tex] = 2

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

m = [tex]\frac{11-7}{8-4}[/tex] = [tex]\frac{4}{4}[/tex] = 1

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