Answer:
[tex]\huge\boxed{\text{the slope}=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
The formula of a slope
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coorcinates of the points:
(2, 3); (5, 5)
[tex]m=\dfrac{5-3}{5-2}=\dfrac{2}{3}[/tex]
(2, 3); (8, 7)
[tex]m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]
The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.
