Final answer:
The distance between the points (-3,10) and (-2,3) is found using the distance formula, resulting in approximately 7.07 units.
Step-by-step explanation:
The distance between two points in the Cartesian plane can be found using the distance formula which is derived from the Pythagorean theorem. For two points (x1, y1) and (x2, y2), the distance d between them is given by:
d = √((x2 - x1)² + (y2 - y1)²)
To find the distance between the points (-3,10) and (-2,3), we substitute the coordinates into the formula:
d = √((-2 - (-3))² + (3 - 10)²)
= √((1)² + (-7)²)
= √(1 + 49)
= √(50)
= 7.07 (to two decimal places)
Thus, the distance between the points (-3,10) and (-2,3) is approximately 7.07 units.