Question

question 9 (multiple choice worth 2 points) (distance on the coordinate plane lc) what is the distance between the points located at (15, −10) and (15, 22)? ∘ 12 units ∘ −12 units ∘ 32 units ∘ −32 units

Explanation:

Step1: Identify the coordinates

The two points are \((15, -10)\) and \((15, 22)\). Since the \(x\)-coordinates are the same (\(x = 15\)), the distance is the absolute difference of the \(y\)-coordinates.

Step2: Calculate the distance

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) when \(x_1=x_2\) is \(|y_2 - y_1|\). Here, \(y_1=-10\) and \(y_2 = 22\), so \(d=|22-(-10)|=|22 + 10|=|32| = 32\).

Answer:

32 units (the option corresponding to "32 units")