Answer:
The length of line segment JK is 2√13.
Step-by-step explanation:
Consider the provided graph.
From the provided graph we can identify, the coordinate of k is (1, 2) and the coordinate of j is (-3, -4).
To find the distance between the line segment use the distance formula.
[tex]D=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Substitute the respective values in the above formula.
[tex]d=\sqrt{\left(-3-1\right)^2+\left(-4-2\right)^2}[/tex]
[tex]d=\sqrt{\left(-4)^2+\left(-6)^2}[/tex]
[tex]d=\sqrt{16+36}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Hence, the length of line segment JK is 2√13.
