Question

What is the length of line segment EF? Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answer 1

2^2 + 3^2 = 4 + 9 = 13
EF = √13 = 3.6

answer
3.6

Answer 2

Answer:

3.6 units.

Step-by-step explanation:

We have been given an image of a coordinate plane. We are asked to find the length of line segment EF.

We will use distance formula to solve our given problem.

$\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting our given values in above formula we will get,

$\text{Distance}=\sqrt{(-1--3)^2+(-2-1)^2}$

$\text{Distance}=\sqrt{(-1+3)^2+(-3)^2}$

$\text{Distance}=\sqrt{(2)^2+(-3)^2}$

$\text{Distance}=\sqrt{4+9}$

$\text{Distance}=\sqrt{13}$

$\text{Distance}=3.60555\approx 3.6$

Therefore, the length of line segment EF is 3.6 units.