Final answer:
To find three additional points through which the line passes when the slope is undefined, we can use the given point on the line and understand that the line is vertical and parallel to the y-axis. Any points on this line will have the same x-coordinate as the given point.
Step-by-step explanation:
To find three additional points through which the line passes, we can use the given point on the line (-4, 1) and the fact that the slope of the line is undefined. When the slope is undefined, it means that the line is vertical, parallel to the y-axis. So, any points on this vertical line will have the same x-coordinate as the given point (-4, 1).
For example, three additional points on this line could be (-4, 2), (-4, 3), and (-4, -2). These points lie on the vertical line with x = -4 and are parallel to the y-axis.