Answer:
√170 units.
Explanation:
Given the endpoints of the line segment: (-5, 4) and (6,-3)
Using the distance formula:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute the given values:
[tex]\begin{gathered} Dis\tan ce=\sqrt[]{\mleft(6-\mleft(-5\mright)\mright)^2+\mleft(-3-4\mright)^2} \\ =\sqrt[]{(6+5)^2+(-7)^2} \\ =\sqrt[]{(11)^2+(-7)^2} \\ =\sqrt[]{121+49} \\ =\sqrt[]{170} \end{gathered}[/tex]The length of the line segment is √170 units.
