Question

find the distance between the points $r(0, 1)$ and $s(6, 3.5)$. the exact distance between the two points is

Explanation:

Step1: Recall distance formula

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

Step2: Identify coordinates

Here, $x_1 = 0,y_1 = 1,x_2=6,y_2 = 3.5$.

Step3: Substitute values

$d=\sqrt{(6 - 0)^2+(3.5 - 1)^2}=\sqrt{6^{2}+2.5^{2}}=\sqrt{36 + 6.25}=\sqrt{42.25}$.

Step4: Calculate square - root

$\sqrt{42.25}=6.5$.

Answer:

$6.5$