Answer
1) d = $2\sqrt 2$
2) d = $3$
3) d = $\sqrt {13} $
4) d = $ \sqrt {37} $
Work Step by Step
The distance between point (x_{1}, y_{1}) and the point (x_{2}, y_{2}) is:
$d = \sqrt {(x_2-x_1)^{2}+(y_2-y_1)^{2}} $
1) Points (1,4) and (3,2):
$d = \sqrt {(3-1)^{2}+(2-4)^{2}} $
$ d= 2\sqrt2 $
2) Points (2,4) and (2,1):
$d = \sqrt {(2-2)^{2}+(1-4)^{2}} $
$ d= 3 $
3) Points (-2,3) and (0,0):
$d = \sqrt {(0-(-2))^{2}+(0-3)^{2}} $
$ d= \sqrt{13} $
4) Points (-2,3) and (-3,-3):
$d = \sqrt {(-3-(-2))^{2}+(-3-3)^{2}} $
$ d= \sqrt{37} $
