Final answer:
To find the distance between two points, we use the distance formula based on the Pythagorean theorem. For the given points, the distance is approximately 9.8 units.
Step-by-step explanation:
To find the distance between two points, we can use the distance formula, which is based on the Pythagorean theorem. The formula is: distance = √((x2 - x1)² + (y2 - y1)²). In this case, the two points are (3, -5) and (-1, 4). Substituting the values in the formula, we get: distance = √((-1 - 3)² + (4 - -5)²). Simplifying further, we have: distance = √((-4)² + (9)²). Calculating, we find the distance to be approximately 9.8 units, rounded to the tenth place.