Question

Find the distance between (-1,4) and (1,-1)

Answer 1

Answer:

$d=\sqrt{29}$

Step-by-step explanation:

The trick here is knowing the distance formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

using that equation with (-1,4) and (1,-1), we get:

$d=\sqrt{(1-(-1))^2+((-1)-4)^2}\\d=\sqrt{(1+1)^2+(-1-4)^2}\\d=\sqrt{(2)^2+(-5)^2}\\d=\sqrt{4+25}\\d=\sqrt{29}$