Question

Find the distance between the points (-5,4) and (-2,-1)

Answer 1

√34

Explanation

Distance formula

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

where

• d: distance between two points

,

• (x₁, y₁): coordinates of the first point

,

• (x₂, y₂): coordinates of the second point

Substituting into the formula with the points (-5,4) and (-2,-1), we get:

`\begin{gathered} d=√((-2-(-5))^2+(-1-4)^2) \\ d=√(3^2+(-5)^2) \\ d=√(9+25) \\ d=√(34) \end{gathered}`