Question

What is the equation of the line between `(-7,2)` and `(7,-3)`?

Answer 1

`sqrt(221)`

Explanation:

The distance formula for Cartesian coordinates is

`d=sqrt((x_2-x_1)^2+(y_2-y_1)^2`
Where `x_1, y_1`, and`x_2, y_2` are the Cartesian coordinates of two points respectively.
Let `(x_1,y_1)` represent `(-7,2)` and `(x_2,y_2)` represent `(7,-3)`.
`implies d=sqrt((7-(-7))^2+(-3-2)^2`
`implies d=sqrt((14)^2+(-5)^2`
`implies d=sqrt(196+25)`
`implies d=sqrt(221)`

Hence the distance between the given points is `sqrt(221)`.