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.
[tex]\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Upon substituting our given values in above formula we will get,
[tex]\text{Distance}=\sqrt{(-1--3)^2+(-2-1)^2}[/tex]
[tex]\text{Distance}=\sqrt{(-1+3)^2+(-3)^2}[/tex]
[tex]\text{Distance}=\sqrt{(2)^2+(-3)^2}[/tex]
[tex]\text{Distance}=\sqrt{4+9}[/tex]
[tex]\text{Distance}=\sqrt{13}[/tex]
[tex]\text{Distance}=3.60555\approx 3.6[/tex]
Therefore, the length of line segment EF is 3.6 units.
