Which inequality best represents the graph?
a. y<1/2x-1
b. y≤2x-1
c. y<2x-1
d. y≤1/2x-1
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Answer:
Last option
y ≤ 1/2 x - 1
Step-by-step explanation:
The graph is linear inequality. Since the graph is a solid line so the inequality symbol is either ≥ or ≤.
The colored grey is shaded below the line, so the symbol is ≤.
So either y≤1/2x-1 or y≤2x-1
Now we have to find the slope to see which equation is the right one.
(2,0) and (0,-1)
Slope = (0 + 1) /(2-0) = 1/2 and b = y intercept = -1
So equation:
y ≤ 1/2 x - 1