Question

Find the distance between these points. W(-6, -8), X(6, 8) 10 √8 20

Answer 1

20 units.

Explanation:

To find the distance between any two points, we can use the distance formula:

`\displaystyle d_2 = √((x_2-x_1)^2 + (y_2-y_1)^2)`

Let W(-6, -8) be (x₂, y₂) and X(6, 8) be (x₁, y₁).

Substitute and evaluate:

`\displaystyle \begin{aligned}d & = √((-8-8)^2 + (-6-6)^2) \\ \\ & = √((-16)^2 + (-12)^2) \\ \\ & = √(400) \\ \\ & = 20 \end{aligned}`

Therefore, the distance between the two points is 20 units.