question 24 (1 point)\nthe point (2, -3) is on the terminal arm of db. which is the correct value of cot b?\n

Explanation:

Step1: Recall the definition of cotangent

The cotangent of an angle in the coordinate plane is defined as (\cot\theta=\frac{x}{y}), where ((x,y)) is a point on the terminal arm of the angle.

Step2: Identify (x) and (y) values

Given the point ((2, - 3)), we have (x = 2) and (y=-3).

Step3: Calculate (\cot B)

Substitute (x = 2) and (y=-3) into the formula (\cot B=\frac{x}{y}), so (\cot B=\frac{2}{-3}=-\frac{2}{3}).

Answer:

d) (-\frac{2}{3})