Final answer:
The distance between the points (8,3) and (8,-7) is 10 units.
Step-by-step explanation:
The distance between two points in a two-dimensional Cartesian coordinate system can be found using the distance formula. The distance formula is derived from the Pythagorean theorem. To find the distance between two points, you can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (8,3) and (8,-7).
- Substitute the x and y coordinates into the formula: d = √((8 - 8)^2 + (-7 - 3)^2)
- Simplify: d = √(0 + 100)
- Calculate the square root: d = √100 = 10
Therefore, the distance between the two points is 10 units.