Question

Can someone please help me with this question about given two points?Please help ASAP!!! :(

Answer 1

The order of subtraction is not important in any of the coordinates

Explanation:

Distance Between Two Points

Given two points (x1,y2) (x2,y2), the distance between them is given by the formula

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

The difference between both coordinates is squared, then added, and finally extracted the square root.

Based on the principle that

`a*a=a^2`

and also

`(-a)(-a)=a^2`

We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as

`d=√((x_1-x_2)^2+(y_1-y_2)^2)`

As seen, it applies for both coordinates