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7. *Which of the following inequalities represents the graph shown below? (2 points) 3 (A) yz - 2x + 4 (B) y > 2x + 4 (C) y > -2x + 4 (D) y < 2x + 4

7. *Which of the following inequalities represents the graph shown below? (2 points-example-1
User Avishekdr
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1 Answer

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The line is a dashed line, it means that the line is not included in the solution and the equation must have the symbol > or < not ≥ or ≤.

By looking at the graph we can see that the line crosses the y-axis at y=4.

Slope intercept equation:

y= mx +b

Where :

m= slope

b= intercept (4)

To find the slope we can see that moving from left to right, the line goes down 2 units (-2) for every unit to the right.

m= rise / run = -2/1 = -2

Final equation:

y> -2x+4

the solution is above the line, so y it's greater than the line.

User Zin Min
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