Which inequality is shown in this graph? (0, 2) (-1,-2)

a) y>=-4x+2
b) y>=4x+2
c) y<=-4x+2
d) y<=4x+2

B y ≥ 4x + 2

Step-by-step explanation:

1. find slope of the line: (y² - y¹) / (x² - x¹)

(0, 2) and (-1, -2)

(-2 - 2) / (-1 - 0) = -4 / -1 = 4

y = 4x + 2*

*+2 because that is the y-intercept as shown by point (0, 2)

2. the line is solid, therefore the inequality is ≤ or ≥. dashed line would mean < or >

3. the shaded region is on the right side of the line, so the values are greater than. therefore, you use ≥

4. final equation: y ≥ 4x + 2