Answer
$d = 1.41$
Work Step by Step
$d = \sqrt {((-\frac{1}{4})-(\frac{3}{4}))^{2}+ ((-\frac{1}{7})-(\frac{6}{7}))^{2}}$
$ = \sqrt {(-\frac{1}{4}-\frac{3}{4}))^{2}+ (-\frac{1}{7}-\frac{6}{7}))^{2}}$
$= \sqrt {(-1)^{2} + (-1)^{2}}$
$= \sqrt {1 + 1}$
$=\sqrt {2}$
$= 1.41421...$
$= 1.41$
