Question

eg. use the distance formular to find the distance between the p(-2, 4) and q(0, -5).

Explanation:

Step1: Recall distance formula

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

Step2: Identify coordinates

Here, $x_1=-2,y_1 = 4,x_2=0,y_2=-5$.

Step3: Substitute values into formula

$d=\sqrt{(0 - (-2))^2+((-5)-4)^2}=\sqrt{(2)^2+(-9)^2}=\sqrt{4 + 81}=\sqrt{85}$.

Answer:

$\sqrt{85}$