Question

- Which of the following is the correct distance between the points (-5, 3) and (7,8)?

Answer 1

13 units

Explanation:

(x₁,y₁) = (-5 , 3) & (x₂ , y₂) = (7 ,8)

`Distance = \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)} \\`

`= \sqrt{(7-[-5])^(2)+(8-3)^(2)} \\\\= \sqrt{(7+5)^(2)+(8-3)^(2)} \\\\= \sqrt{(12)^(2)+(5)^(2)}\\\\=√(144+25)\\\\=√(169)\\\\= 13`