Question

Find the distance between the two points given (-2,6) and (-2,18)

Answer 1

12

Explanation:

Let the two points be represented by (x1,y1) and (x2,y2).

Distance between the two points is given by the formula:

`\[\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}\]` ----------------- (1)

In this case x1=-2,y1=6,x2=-2,y2=18.

Substituting the relevant values in the formula (1),

distance =
`\[\sqrt{(-2-(-2))^(2)+(18-6)^(2)}\]`

=
`\[\sqrt{0^(2)+12^(2)}\]`

=12