Final answer:
A line with a 0 slope is horizontal, not vertical. The statement is false. Vertical lines have an infinite slope because they rise without any horizontal change.
Step-by-step explanation:
The statement that a line with 0 slope is vertical is false. A 0 slope indicates that the line is horizontal, showing no vertical rise despite horizontal movement along the x-axis. As the slope approaches zero, the line becomes flatter. Conversely, if the slope were to increase or decrease, the line would become steeper or flatter, respectively, and this applies to both positive and negative slopes.
A vertical line is one that goes straight up and down, and it has an infinite slope, because it represents a case where there is a vertical change but no horizontal change (rise without run). Therefore, a horizontal line—a line with a slope of zero—represents a constant y-value with no vertical change, regardless of the x-value.