Question

Find the length of the segment that joins the points (-5, 4) and (6,-3) 772 15 V170 O-1 0 8.5

Answer 1

√170 units.

Step-by-step explanation:

Given the endpoints of the line segment: (-5, 4) and (6,-3)

Using the distance formula:

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute the given values:

`\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}`

The length of the line segment is √170 units.