Final answer:
To calculate the distance between points P(2,-3) and R(-1,6), the distance formula is used. The correct length of PR is the square root of 90, which is approximately 9.49 units, indicating a possible error in the provided answer choices.
Step-by-step explanation:
To find the length of PR, we need to calculate the distance between the two points P(2,-3) and R(-1,6). We can do this by using the distance formula which is derived from the Pythagorean theorem and is given by:
d = √((x2-x1)² + (y2-y1)²)
Substitute the coordinates of points P and R into the formula to get:
d = √((-1 - 2)² + (6 - (-3))²)
= √((-3)² + (9)²)
= √(9 + 81)
= √90
The exact length of PR is √90 units. To match with the given options, we can approximate √90, which is about 9.49 units. None of the options A, B, C, or D are correct, so there may be an error in the question or the answer choices.