Question

consider the following pair of points.
(8, -7) and (9, 8)
step 1 of 2: determine the distance between the two points.
answer

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, $x_1 = 8,y_1=-7,x_2 = 9,y_2 = 8$.

Step2: Substitute values

$d=\sqrt{(9 - 8)^2+(8-(-7))^2}=\sqrt{1^2+(8 + 7)^2}=\sqrt{1+225}=\sqrt{226}$.

Answer:

$\sqrt{226}$