Which linear inequality is represented by the graph? a. y ≤ 1/3 x – 1.3 b. y ≤ 1/3 x –4/3 c. y ≥ 1/3 x –4/3 d. y ≥ 1/3 x – 1.3

The correct answer is A. y ≤ 1/3x - 1.3.

Firstly, we see that the shaded region is *below* the line. This means that the equation is going to be ≤, not ≥. If it was ≥, then the shaded region would be above the line. Therefore, this eliminates C & D.

Next, the inequality is in slope-intercept form, which is y = mx+b, with m = slope and b = y-intercept. With this line, you see that the y-intercept is (0, -1.3). Therefore, this eliminates B & C.

And by process of elimination, the correct answer is A.

true

step-by-step explanation:

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0