Question

What is the distance between the points 4,10 and -3,-14 on the coordinate plane

Answer 1

25

Explanation:

Here we are supposed to find the distance between two coordinates ( 4,10) and (-3,-14).

Let us do this step by step with detailed explanation.

We will use distance formula in order to find the distance between them. The distance formula is given as

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

Here we have

`x_(2)=-3\\x_(1)=4\\y_(2)=-14\\y_(1)=10\\`

Replacing them in the formula we get

`D=\sqrt{(-3-4)^(2) +(-14-10)^(2) }\\D=\sqrt{(-7)^(2) +(-24)^(2) }\\D=√(49+ 576 )\\D=√(625 )\\D=25\\`

Hence our distance is 25 units