Question

question 2 (1 point) find the distance between the points (-1, 4) and (1, -1). please round your answer to 2 decimal places. distance =

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, $x_1=-1,y_1 = 4,x_2 = 1,y_2=-1$.

Step2: Substitute values

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

Step3: Calculate and round

$\sqrt{29}\approx5.39$.

Answer:

$5.39$