Pierre Holmes

2022-07-20

Distance between (7,−22) and (-1,−4)?

Marisa Colon

Expert

The formula for calculating the distance between two points is:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
Substituting the values from the points in the problem gives:
$d=\sqrt{{\left(-1-7\right)}^{2}+{\left(-4+22\right)}^{2}}$
$d=\sqrt{64+324}$
$d=\sqrt{4\cdot 97}$
$d=2\sqrt{97}$
d=19.698 rounded to the nearest thousandth.

Do you have a similar question?