Question

o = (-2, 4)
p = (-2, -1)

Explanation:

Step1: Identify the formula for distance

The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(O = (-2,4)\) and \(P=(-2, - 1)\), so \(x_1=-2,y_1 = 4,x_2=-2,y_2=-1\).

Step2: Substitute values into the formula

Since \(x_1=x_2=-2\), the term \((x_2 - x_1)^2=(-2-(-2))^2=(0)^2 = 0\). For the \(y\)-terms, \((y_2 - y_1)^2=(-1 - 4)^2=(-5)^2 = 25\). Then \(d=\sqrt{0 + 25}=\sqrt{25}=5\).

Answer:

The distance between points \(O\) and \(P\) is \(5\).