Answer
$\approx 2.77$ units
Work Step by Step
We are given the points:
$\left(\dfrac{1}{2},\dfrac{4}{3}\right)$
$(2,-1)$
Determine the distance between two points $(x_1,y_1),(x_2,y_2)$ using the formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{\left(2-\dfrac{1}{2}\right)^2+\left(-1-\dfrac{4}{3}\right)^2}$
$=\sqrt{\dfrac{9}{4}+\dfrac{49}{9}}$
$=\sqrt{\dfrac{277}{36}}$
$=\dfrac{\sqrt{277}}{6}$
$\approx 2.77$
