Final answer:
Using the distance formula, the distance between the points (-2, -6) and (-7, 6) is calculated to be exactly 13 units, which is not among the provided answer choices. This suggests there may have been an error in the question or answer options. The closest multiple-choice option is (b) 13 units, although this doesn't exactly match the calculated result.
Step-by-step explanation:
To find the distance between two points, we use the distance formula derived from the Pythagorean theorem: distance = √((x2 - x1)² + (y2 - y1)²). Plugging in our points (-2, -6) and (-7, 6), we get:
√((-7 - (-2))² + (6 - (-6))²) = √((-7 + 2)² + (6 + 6)²) = √((-5)² + (12)²) = √(25 + 144) = √169
The square root of 169 is 13. Thus, the distance between the two points is 13 units, which is not one of the answer choices provided. There may have been a mistake in the question or proposed answer options. The closest multiple-choice option is (b) 13 units, although this doesn't exactly match the calculated result.