Answer:
Length BC : 5 units.
Step-by-step explanation:
Given : Line BC with B ( -3 ,-2) and C ( 0 ,2) .
To find : What is the length of segment BC.
Solution : We have given Line BC with B ( -3 ,-2) and C ( 0 ,2) .
Length of BC mean distance between the point B and C.
Distance formula : [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} - y_{1})^{2}}[/tex].
[tex]x_{1} = -3\\x_{2} = 0\\y_{1} = -2\\y_{2} = 2[/tex].
Plug the values in above formula.
Length BC : [tex]\sqrt{(0 -(-3))^{2} +(2 - (-2))^{2}}[/tex].
Length BC : [tex]\sqrt{(0+3))^{2} +(2 +2))^{2}}[/tex].
Length BC : [tex]\sqrt{(3)^{2} +(4)^{2}}[/tex].
Length BC : [tex]\sqrt{9 +16}[/tex].
Length BC : [tex]\sqrt{25}[/tex].
Length BC : 5 units.
Therefore, Length BC : 5 units.
