Question

Find the distances between the following pair of points. $(4, -7)$and$(-1, 5)$

Answer 1

Distance $d$ between two points $P(a,b)$ and $Q(c,d)$ is given by

$d=\sqrt{(a-c{)}^2+(b-d{)}^2}$

Now in the given question distance $d$ between following pair of points
$(4,-7)$ & $(-1,5)$
$d=\sqrt{(4-(-1\left)\right){)}^2+(-7-5{)}^2}$
$\Rightarrow d=\sqrt{(5{)}^2+(-12{)}^2}$
$\Rightarrow d=\sqrt{25+144}$
$\Rightarrow d=\sqrt{169}$
$\Rightarrow d=13$