Question

Use the distance formula to find the distance between the points given.(9, -8), (5, - 18)

Answer 1

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:

`d=\sqrt{(x_2-x_1)^2+(y_2-y_1)\placeholder{⬚}^2}`

Let's replace the variables in the formula with their corresponding numerical values based on the given information.

`d=√((5-9)^2+(-18--8)^2)`

Then, solve and simplify.

`d=√((-4)^2+(-10)^2)`
`d=√(16+100)`
`d=√(116)\Rightarrow d=√(4*29)\Rightarrow d=2√(29)`

Therefore, the distance between the two given points is 2√29 units or approximately 10.77 units.