Answer:
The points are not on the same line
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the coordinates of the given points:
for A(3, 5) and B(-2, 6):
[tex]m_{AB}=\dfrac{6-5}{-2-3}=\dfrac{1}{-5}=-\dfrac{1}{5}[/tex]
for B(-2, 6) and C(-5, 7):
[tex]m_{BC}=\dfrac{7-6}{-5-(-2)}=\dfrac{1}{-5+2}=\dfrac{1}{-3}=-\dfrac{1}{3}[/tex]
[tex]\large\boxed{m_{AB}\neq m_{BC}}[/tex]
