Question

(Brainlesest) Which inequality is represented by the graph?

A) 2x - 2/5y < 2
B) 4/5x - 2y > 3
C) 2/5x - 2y > 2
D) 2x - 4/5y < 3

Answer 1

B

Explanation:

By inspection we can see that the slope of the line is m = 2/5; as x increases by 5, y increases by 2. Next, also by inspection, we see that the y-intercept is (0, 3/2). Using the slope-intercept formula y = mx + b, we get y = (2/5)x - 3/2.

Let's take a look at Answer B: If we divide all three terms by 2, we get:

(2/5)x - y > 3/2. This matches the equation found earlier, y = (2/5)x - 3/2 if we rewrite (2/5)x - y > 3/2 as (2/5)x - 3/2 > y.

Thus, all points that satisfy this inequality are BELOW the y = (2/5)x - 3/2,

Answer B is the correct one.