Question

What is the length of a line segment with endpoints (-3, 2) and (5, -1)

Answer 1

Answer:

The length of the given line segment is $\sqrt{73}$ cm

Step-by-step explanation:

Given end points are (-3,2) and (5,-1)

To find the length of a line segment with these given end points

By using the distance formula we can calculate the length of a line segment

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

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the two end points (-3,2) and (5,-1) respectively

$d=\sqrt{(5-(-3))^2+(-1-2)^2}$

$=\sqrt{(5+3)^2+(-3)^2}$

$=\sqrt{(8)^2+(3)^2}$

$=\sqrt{64+9}$

$=\sqrt{73}$

Therefore $d=\sqrt{73}$ units

Therefore the length of a given line segment is $\sqrt{73}$cm