Question

Find the distance between the points $(\frac{-8}{5},2)and\left(\frac{2}{5}2\right)$

Answer 1

Given points are
($\frac{-8}{5},2\left)\right(\frac{2}{5},2)$
so
$x_1=\frac{-8}{5},y_1=2$

$x_2=\frac{2}{5},y_2=2$

We know that

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

= $\sqrt{(\frac{2}{5}+\frac{8}{5}{)}^2+{(2-2)}^2}$

= $\sqrt{(\frac{10}{5}{)}^2+0}$

=$\frac{10}{5}$

= 2 units