Question

What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid?

Answer 1

`5√(2)`

Explanation:

The distance between two points on a Cartesian coordinate grid is
`d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2` where
`d` is the distance between
`(x_1,y_1)\rightarrow(-3,-4)` and
`(x_2,y_2)\rightarrow(-8,1)`:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\d=√((-8-(-3))^2+(1-(-4))^2)\\\\d=√((-8+3)^2+(1+4)^2)\\\\d=√((-5)^2+5^2)\\\\d=√(25+25)\\\\d=√(50)\\\\d=5√(2)`

Therefore, the distance between the two points is
`5√(2)` units.