The graph of a line goes through (0,-2) and has a slope 1/3. what point is also on the graph of the line?

a.) (1,1)
b.) (3,-1)
c.) (-1,-5)
d.) (3,3)

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 =

note the line goes through the y- axis at (0, - 2) ⇒ c = - 2

y = 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 = - 2 = - ≠ 1

(1, 1) does not lie on the line

(3, - 1) : y = 1 - 2 = - 1 → (3, - 1) lies on the line

(- 1, - 5) : y = - - 2 = - ≠ - 5

(- 1, - 5) does not lie on the line

(3, 3) : y =1 - 2 = - 1 ≠ 3

(3, 3) does not lie on the line

they are simplified

step-by-step explanation: