Let the real numbers x and y satisfy the following conditions: ① x-y-2 ≤ 0, ② x + 2y-4 ≥ 0, ③ 2y-3 ≤ 0, then the maximum value of Y / X is Note: I hope you can give me a picture!

Let the real numbers x and y satisfy the following conditions: ① x-y-2 ≤ 0, ② x + 2y-4 ≥ 0, ③ 2y-3 ≤ 0, then the maximum value of Y / X is Note: I hope you can give me a picture!

As shown in the figure, triangle ABC, Y / X is the slope of the line between the point in the region and the origin, B (7 / 2,3 / 2) a (1,3 / 2) C (8 / 3,2 / 3)
Maximum slope 3 / 2