Question

what is the distance between (5, -7) and (4, -1)? provide an answer accurate to the nearest tenth.

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(5,-7)$ and $(x_2,y_2)=(4,-1)$.

Step2: Substitute values

$d=\sqrt{(4 - 5)^2+(-1-(-7))^2}=\sqrt{(-1)^2+(6)^2}=\sqrt{1 + 36}=\sqrt{37}$.

Step3: Calculate and round

$\sqrt{37}\approx6.1$.

Answer:

$6.1$