Question

which one describes the graph???

Answer 1

Answer:

Option 3

Step-by-step explanation:

The equation of the given line y = mx+c

line pass (0,4) (-2,-2)

m = slope = (4 - (-2)) / (0 - (-2)) = 3

c= y intercept = 4

As the line is solid and the shaded area over the line

So, y ≥ 3x + 4

The answer is option 3

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Note:

The shade area represents the solution of an inequality

The shaded area over a solid line if the the sign is ≥

The shaded area below a solid line if the the sign is ≤

The shaded area over a dashed line if the the sign is >

The shaded area below a dashed line if the the sign is <

Answer 2

Answer:

The correct answer is C. y ≥ 3x -4

Step-by-step explanation:

Let's observe the values for x, y, and 3x - 4 in the graph this way:

x             3x-4                 y

-4          -8                  Above the line and in the shaded area

-3          -5                  Above the line and in the shaded area

-2           -2                 Above the line and in the shaded area

-1            1                   Above the line and in the shaded area

0            4                  Above the line and in the shaded area

1             7                   Above the line and in the shaded area

2            10                  Above the line and in the shaded area

3            13                  Above the line and in the shaded area

4            16                  Above the line and in the shaded area

Then we can conclude that y ≥ 3x -4 because for any given value of x, y is always above the line and in the shaded area.