Answer
13 units
Work Step by Step
To find distance between given points, i. e. (4, -2) and (-1, 10), we will use distance formula -
r = $ \sqrt { (x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2}}$
r = $ \sqrt { (-1 - 4) ^{2} + [10- (-2)] ^{2}}$
r = $ \sqrt { (-5) ^{2} + (10+2) ^{2}}$
r = $ \sqrt { 25 + 144}$
r = $ \sqrt { 169}$ = 13
i.e. Distance between given points = 13 units