Given:
x₁ = 9, y₁ = -8
x₂ = 5, y₂ = -18
Find: the distance between two points
Solution:
To get the distance between the two points, we can use the distance formula which is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)\placeholder{⬚}^2}[/tex]Let's replace the variables in the formula with their corresponding numerical values based on the given information.
[tex]d=\sqrt{(5-9)^2+(-18--8)^2}[/tex]Then, solve and simplify.
[tex]d=\sqrt{(-4)^2+(-10)^2}[/tex][tex]d=\sqrt{16+100}[/tex][tex]d=\sqrt{116}\Rightarrow d=\sqrt{4\times29}\Rightarrow d=2\sqrt{29}[/tex]Therefore, the distance between the two given points is 2√29 units or approximately 10.77 units.
