Question

What is the distance between point A (-3, 3) and Point B (-2, 7)?

Answer 1

Answer: $\bold{\sqrt{17}}$

Step-by-step explanation:

$\text{Use the distance formula: }d_{AB}=\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}\\where\ (x_A, y_A)=(-3, 3)\\and\ (x_B, y_B)=(-2, 7)\\\\\\d_{AB}=\sqrt{[-3-(-2)]^2+(3-7)^2}\\\\.\quad =\sqrt{(-1)^2+{(-4)}^2}\\\\.\quad =\sqrt{1+16}\\\\.\quad =\boxed{\sqrt{17}}$