What is the length of segment RS? On a coordinate plane, line R S has points (negative 4, negative 3) and (1, 9). StartRoot 65 EndRoot 12 13 StartRoot 153 EndRoot

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asked Nov 16, 2021 151k views

2 Answers

Sven Tschui · Answer 1 · 2021-11-20T05:44:21+0000

Answer: Length of RS = 13

Explanation: Segment is a line connecting two points.

Length or Distance of a segment is the distance between these two points and is calculated as:

$d=\sqrt{(x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2)}$

For the line RS:

$d=\sqrt{[1-(-4)]^(2)+[9-(-3)]^(2)}$

$d=\sqrt{(1+4)^(2)+(9+3)^(2)}$

$d=\sqrt{(5)^(2)+(12)^(2)}$

d=√(25+144)

d=√(169)

d = 13

The length of segment RS is 13 units.