Question

Find the distance between the two points.(-3, -1) (-1,-5) We have to use a^2 + b^2 = c^2

Answer 1

The formula between the distance (c) is,

`c=√((x_2-x_1)^2+(y_2-y_1)^2)`

Where,

`\begin{gathered} a=(x_2-x_1) \\ b=(y_2-y_1) \end{gathered}`

Given

`\begin{gathered} (x_1,y_1)=(-3,-1) \\ (x_2,y_2)=(-1,-5) \end{gathered}`

Therefore,

`c=√((-1--3)^2+(-5--1)^2)`

Simplify

`\begin{gathered} c=√((-1+3)^2+(-5+1)^2)=√(2^2+(-4)^2)=√(4+16)=√(20)=√(4*5) \\ c=√(4)*√(5)=2*√(5)=2√(5)=\:4.47213\approx4.5 \end{gathered}`

Hence, the answer is

`c=4.5`