Final answer:
The correct answer is option B, which is the point (6, 2). This point follows the pattern of the slope -2 for a line that already includes the point (4, 5).
Step-by-step explanation:
The correct answer is option B, which is the point (6, 2). A line that contains the point (4, 5) with a slope of -2 means that for every 1 unit the line moves horizontally to the right, it goes down by 2 units vertically. To determine if a point is on this line, you can start at (4, 5) and apply the slope to find another point.
Moving 2 units to the right (from 4 to 6 on the x-axis), the line should move 2 units times 2 vertically (4 units down), which would bring us from 5 to 1 (5 - 4 = 1). However, option B states that the y-coordinate is 2, which means it moved 3 units down instead of 4, indicating that there's an error in understanding the slope movement. The correct vertical movement from 5 (original y-coordinate) with the slope of -2 when moving 2 units to the right (x increasing by 2), should indeed bring the y-coordinate to 5 - (2 * 2), which is 1. Options A, C, and D do not match this pattern and are therefore incorrect.