The equation y = -1/6x - 4 represents a straight line where every point on the line satisfies the equation. However, you're looking for the solution to the inequality y > -1/6x - 4, which means you're looking for points that lie above the line.
Now let's check the given options:
A. (-7, 3)
Plug x = -7 into the inequality:
y > -1/6(-7) - 4 = 7/6 - 4 = 7/6 - 24/6 = -17/6
3 > -17/6 is true, as 3 is greater than -17/6.
B. (-6, -3)
Plug x = -6 into the inequality:
y > -1/6(-6) - 4 = 6/6 - 4 = 1 - 4 = -3
-3 is not greater than -3. This point lies exactly on the line, so it does not satisfy y > -1/6x - 4.
C. (5, -8)
Plug x = 5 into the inequality:
y > -1/6(5) - 4 = -5/6 - 4 = -5/6 - 24/6 = -29/6
-8 is not greater than -29/6, as -8 is -48/6, which is less than -29/6.
D. (0, -4)
When x = 0, the inequality becomes:
y > -4
-4 is not greater than -4. This point lies on the line, so it does not satisfy y > -1/6x - 4.
Therefore, the only ordered pair that satisfies y > -1/6x - 4 is:
A. (-7, 3)
the graph of y = -1/6x - 4 is shown on the grid. which ordered pair is the solution set of y > -1/6X - 4?
A. (-7, 3)
B. (-6, -3)
C. (5, -8)
D. (0, -4)
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