Respuesta :

Answer:

The distance of the line segment AB =17

Step-by-step explanation:

Explanation:-

Given points are X( -8,5) and Y(7,-3)

The distance of the line segment

       AB = [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} - y_{1} )^{2} }[/tex]

      [tex]AB = \sqrt{(7-(-8) )^{2} +(-3-5 )^{2} }[/tex]

    [tex]AB = \sqrt{(7+8)^{2} +(-5-3)^{2} }[/tex]

    AB = [tex]\sqrt{225+64}[/tex]

   AB = 17

The distance of the line segment AB =17