Question

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

Answer 1

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

$x_1=-8/5$

$x_2=2/5$

$y_1=2$

$y_2=2$

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

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

$=\frac{10}{5}=2$ units.