Answer: [tex]\sqrt{68}[/tex] units.
Step-by-step explanation:
The distance between points (a, b) and (c, d) is given by :_
[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]
Given points : (-10,-7) (-8,1)
Distance between points (-10,-7) and (-8,1) = [tex]\sqrt{(1-(-7))^2+(-8-(-10))^2}[/tex]
[tex]=\sqrt{(1+7)^2+(-8+10)^2}\\\\=\sqrt{8^2+2^2}\\\\=\sqrt{64+4}\\\\=\sqrt{68}[/tex]
Hence, distance between given points = [tex]\sqrt{68}[/tex] units.
