Question

e = (-1, -3)
f = (2, 3)

Explanation:

Step1: Recall distance formula

The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step2: Identify coordinates

Here, \(x_1=-1,y_1 = - 3,x_2=2,y_2 = 3\).

Step3: Substitute into formula

\(d=\sqrt{(2 - (-1))^2+(3 - (-3))^2}=\sqrt{(3)^2+(6)^2}=\sqrt{9 + 36}=\sqrt{45}=3\sqrt{5}\approx6.71\).

Answer:

The distance between \(E(-1,-3)\) and \(F(2,3)\) is \(3\sqrt{5}\) (or approximately \(6.71\)).