What inequality is shown above?

a. y< -1/3x+2
b. y> -3x+2
c. y> -1/3x+2
d. y< -3x+6

y = -1/3x + 2

Step-by-step explanation:

Two points of the inequality

(0,2)

(3,1)

Gradient of the inequality

Substitute one of the points into y = -1/3x + c to find c

y = -1/3x + c at (0,2)

2 = -1/3(0) + c

2 = 0 + c

2 = c

y = -1/3x + c at (3,1)

1 = -1/3(3) + c

1 = -1 + c

1 + 1 = c

2 = c

y = -1/3x + c

Replace c with 2

y = -1/3x + 2

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