Final answer:
The length between the points (-2, -8) and (8, 7) is found using the distance formula and turns out to be approximately 18 units, which is not listed in the provided options.
Step-by-step explanation:
The question asks us to find the length between two points on a coordinate plane. To do this, we can use the distance formula which is derived from the Pythagorean theorem. The distance formula is √((x2 - x1)2 + (y2 - y1)2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
For the points (-2, -8) and (8, 7), we plug these into the formula:
- x1 = -2, y1 = -8
- x2 = 8, y2 = 7
Now calculate the differences and their squares:
- (x2 - x1) = (8 - (-2)) = 10
- (y2 - y1) = (7 - (-8)) = 15
Square these differences:
Sum the squares and find the square root to get the distance:
- √(100 + 225) = √325
- The square root of 325 is approximately 18.027, which we round to the nearest whole number, 18.
Therefore, the length between the points (-2, -8) and (8, 7) is approximately 18 units, which is not one of the options provided. If this is a multiple-choice question, please check the options again or consult with your instructor.