The distance between the given two points is 25.
- The coordinates of two points given to us are (-9, 9) and (-16, 33).
- The length of the line segment connecting two places is defined as the distance between them. The length of the line segment connecting the specified coordinates can be used to compute the distance between two locations in coordinate geometry.
- The distance (d) between the two points whose coordinates are (x1, y1) and (x2, y2) is given by the formula:
- d² = (x2-x1)² + (y2-y1)²
- We will apply the above formula.
- d² = (-16-(-9))² + (33-9)²
- d² = (-16 + 9)² + (33-9)²
- d² = (-7)² + (24)²
- d² = 49 + 576
- d² = 625
- d = √625
- d = 25
- Thus, the distance between the given points is 25.
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