Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = [tex]\frac{1}{3}[/tex]
note the line goes through the y- axis at (0, - 2) ⇒ c = - 2
y = [tex]\frac{1}{3}[/tex] x - 2 ← equation of line
To determine which point also lies on the line, substitute the x- coordinate of the point into the equation and if the value obtained agrees with the y- coordinate of the point then it lies on the line.
(1, 1) : y = [tex]\frac{1}{3}[/tex] - 2 = - [tex]\frac{5}{3}[/tex] ≠ 1
(1, 1) does not lie on the line
(3, - 1) : y = 1 - 2 = - 1 → (3, - 1) lies on the line
(- 1, - 5) : y = - [tex]\frac{1}{3}[/tex] - 2 = - [tex]\frac{7}{3}[/tex] ≠ - 5
(- 1, - 5) does not lie on the line
(3, 3) : y =1 - 2 = - 1 ≠ 3
(3, 3) does not lie on the line
