Question

use the distance formula to find the distance between the two points. give an exact answer (not a decimal approximation). (-1, 8) and (-1, 23) the distance between (-1, 8) and (-1, 23) is

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 $x_1=-1,y_1 = 8,x_2=-1,y_2 = 23$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-1-(-1))^2+(23 - 8)^2}=\sqrt{(0)^2+(15)^2}$.

Step3: Simplify

Since $(0)^2 = 0$ and $(15)^2=225$, then $d=\sqrt{0 + 225}=\sqrt{225}=15$.

Answer:

15