Question

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

Answer 1

Answer:

25

Step-by-step 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

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

Hence our distance is 25 units