Question

The distance between the points (5, -2) and (-7, 3) is

Answer 1

For this case we have that the distance between two points is given by:

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

We have the points:

$(x_ {1}, y_ {1}) = (5, -2)\\(x_ {2}, y_ {2}) = (- 7,3)$

Substituting:

$d = \sqrt {(- 7-5) ^ 2 + (3 - (- 2)) ^ 2}\\d = \sqrt {(- 7-5) ^ 2 + (3 + 2) ^ 2}\\d = \sqrt {(- 12) ^ 2 + (5) ^ 2}\\d = \sqrt {144 + 25}\\d = \sqrt {169}\\d = 13$

Thus, the distance between the points is 13

Answer:

$d = 13$