Question

Find the distance between (1, 8) and (-3, 3).

Answer 1

Solution:

Given:

$Two\text{ points }(1,8)\text{ and }(-3,3)$

The formula to get the distance between two points is;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where;

$\begin{gathered} x_1=1 \\ x_2=-3 \\ y_1=8 \\ y_2=3 \end{gathered}$

Substituting these values into the formula,

$\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt{(-3-1)^2+(3-8)^2} \\ d=\sqrt{(-4)^2+(-5)^2} \\ d=\sqrt{16+25} \\ d=\sqrt{41} \end{gathered}$

Therefore, the distance between the points is;

$d=\sqrt{41}$