Question

Which inequality best represents the graph?

a. y<1/2x-1

b. y≤2x-1

c. y<2x-1

d. y≤1/2x-1

Answer 1

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