MCQ - 78-11930

Correct Answer: E

Explanation:

The easiest way to find the distance between two points whose coordinates are given in the form (x₁, y₁) and (x₂, y₂) is to use the distance formula.

${\displaystyle d=\sqrt{(x_1-<!--\; -\; -->x_2{)}^2+(y_1-<!--\; -\; -->y_2{)}^2}}$

Plugging in the coordinates from our given points, our formula looks as follows

${\displaystyle d=\sqrt{(-<!--\; -\; -->5-<!--\; -\; -->7{)}^2)+(6-<!--\; -\; -->1{)}^2}}$

We then simply simplify step by step

${\displaystyle d=\sqrt{(-<!--\; -\; -->12{)}^2+(5{)}^2}=\sqrt{144+25}=\sqrt{169}=13}$

Therefore, the distance between the two points is 13.