Find the distance between the points (
–
5,2) and (7,9).
To find the distance between two points, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is as follows:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given points:
Point 1: (-5, 2)
Point 2: (7, 9)
Plugging the values into the formula:
d = √((7 - (-5))^2 + (9 - 2)^2)
= √((12)^2 + (7)^2)
= √(144 + 49)
= √193
Therefore, the distance between the points (-5,2) and (7,9) is √193.