Answer:
8.54 units (3s.f.)
Step-by-step explanation:
Distance between 2 points
[tex] = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } [/tex]
Identify the coordinates of the 2 endpoints of the line:
(-5, 5) and (-2, -3)
Using the distance formula above,
length of line segment
[tex] = \sqrt{[5 - ( - 3)]^{2} + [ - 5 - ( - 2)]^{2} } \\ = \sqrt{ {(5 + 3)}^{2} + ( -5 + 2)^{2} } \\ = \sqrt{ {8}^{2} + {( - 3)}^{2} } \\ = \sqrt{73} \\ = 8.54 \: units \: (3 \: s.f.)[/tex]
