Answer:
The distance between the two given points is 5.
Explanation:
As we move from (8,13) to (11,9), the change in x is 3 and that in y is -4.
Note that these distances are at right angles to one another. We apply the Pythagorean Theorem to find the length of the diagonal connecting the two points, whose length is the desired distance:
d = √(3² + [-4]²) = √25, or just 5.
The distance between the two given points is 5.