Question

Find the distance between the points given. (-3, 2) and (9, -3)

Answer 1

$( x_{1}, y_{1} )$ = (-3, 2)

$( x_{2} , y_{2} )$ = (9, -3)

The distance between two points 

= $\sqrt{ ( x_{2} - x_{1}) ^{2} + ( y_{2} - y_{2}) ^{2} }$

= $\sqrt{ (9 - (-3) )^{2} + (-3 -2)^{2} }$

= $\sqrt{ (9 + 3)^{2} + (-3 -2)^{2} }$

= $\sqrt{ (12)^{2} + (-5)^{2}}$

= $\sqrt{144 + 25}$

= $\sqrt{169}$

= 13

Hence, the distance between the two points is 13.

Answer 2

The difference of -3 to positive 9 is 12. Positive 2 to -3 is 5