# What is the distance between (23,-3) and (24,-7)?

Apr 23, 2018

using distance formula
$d = \sqrt{17}$

#### Explanation:

distance formula: $d = \sqrt{{\left(x 2 - x 1\right)}^{2} + {\left(y 2 - y 1\right)}^{2}}$

where $x 1 = 23$

$y 1 = - 3$

$x 2 = 24$

$y 2 = - 7$

putting all these values in the formula above

d=sqrt((24-23)^2+(-7+3)^2

simplifying

d=sqrt((1)^2+(-4)^2
d=sqrt(1+16
$d = \sqrt{17}$