Solution:
We have been asked to find the distance between the points (5, -2) and (-7, 3).
we can find the distance between the two points using the distance formula.
The distance formula is given as
[tex] D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\text{where } (x_1, y_1) \ and \ (x_2, y_2) \ are \ two \ points\\ [/tex]
Now substitute the given values we get
[tex] D=\sqrt{(-7-5)^2+(3+2)^2}\\\\\D=\sqrt{(-12)^2+5^2}=\sqrt{169}=13\\ [/tex]
Hence the distance between the given points is 13.
