Answer:
9.06 units (3 s.f.)
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Distance between (-1, -6) and (8, -7)
[tex] = \sqrt{[- 7 - ( - 6)]^{2} + [8 - ( - 1)]^{2} } [/tex]
[tex] = \sqrt{ {( - 7 + 6)}^{2} + (8 + 1) {}^{2} } [/tex]
[tex] = \sqrt{( - 1)^{2} + {9}^{2} } [/tex]
[tex] = \sqrt{1 + 81} [/tex]
[tex] = \sqrt{82} [/tex]
= 9.06 units (3 s.f.)
