Final answer:
The distance between point A(1, 9) and point B(-4, -3) is calculated using the distance formula, which results in 13 units.
Step-by-step explanation:
The student asked about the distance between point A(1, 9) and point B(-4, -3) on a coordinate plane. To find the distance between two points in the Cartesian coordinate system, you can use the distance formula: √[(x2 - x1)² + (y2 - y1)²]. Applying the formula with the given points A(1, 9) and B(-4, -3), we get:
√[(-4 - 1)² + (-3 - 9)²]
√[(-5)² + (-12)²]
√[25 + 144]
√[169]
= 13 units
Thus, the distance between point A and point B is 13 units.