Answer:
A
Step-by-step explanation:
Calculate the slope of the given points with the point (- 2,  5 )
If the slope is -  then the point is on the line
 then the point is on the line
Calculate slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)
m =  =
 =  = -
 = -  ← point (6, - 1) is on the line
 ← point (6, - 1) is on the line
Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)
m =  =
 =  ← point (2, 8) is not on the line
 ← point (2, 8) is not on the line
Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)
m =  =
 =  =
 =  ← point (- 5, 1) is not on the line
 ← point (- 5, 1) is not on the line
Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)
m =  = -
 = -  ← point (1, 1) is not on the line
 ← point (1, 1) is not on the line
Thus the point on the line is (6, - 1 ) → A