Question

Find the distance between the two points (-1,10) and (-5,3)

Answer 1

Given:

Two points are (-1,10) and (-5,3).

Required:

Find the distance between the given points.

Step-by-step explanation:

The distance between two points is given by the formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

consider

`(x_1,y_1)=(-1,10)\text{ and \lparen x}_2,y_2)=(-5,3)`

The distance between the given points is:

`\begin{gathered} d=√((-5-(-1))^2+\left(3-10\right)^2) \\ d=√((-5+1)^2+(-7)^2) \\ d=√((-4)^2+49) \\ d=√(16+49) \\ d=√(65) \end{gathered}`

Final Answer:

The distance between the given points is

`√(65)`