Final answer:
The distance between the points (4, -3) and (12, 3) is calculated using the distance formula, resulting in 10 units. This is option A.
Step-by-step explanation:
The distance between two points in a coordinate system can be calculated using the distance formula. If we have two points, (x1, y1) and (x2, y2), then the distance 'd' between these two points is given by:
d = √((x2 - x1)² + (y2 - y1)²)
For the points (4, -3) and (12, 3), we use this formula:
d = √((12 - 4)² + (3 - (-3))²)
= √(8² + 6²)
= √(64 + 36)
= √100
= 10
Therefore, the distance of the line segment joining the two points (4, -3) and (12, 3) is 10 units.