Step-by-step explanation:
Given points ( 2 , 7) and ( - 8 , 1 )
Distance between two points
[tex] \sqrt{(x2 - x1 )+( y2 - y1)} [/tex]
[tex] \sqrt{(2 + 8) + (7 - 1)} [/tex]
[tex] \sqrt{10 + 6} [/tex]
[tex] \sqrt{16} [/tex]
[tex] \sqrt {4}^{2} [/tex]
Therefore distance between two points is 4 units.