Final answer:
In order to determine if the slope of Function A is greater than the slope of Function B, we need to compare the coefficient of x in Function A to the slope of Function B, which is 2. A steeper slope has a higher value if it's an increasing line, and a lower (more negative) value if it's a decreasing line.
Step-by-step explanation:
The student has asked which statement is true regarding the slope of Function A compared to Function B which is provided as y=2x+1. This function, B, has a slope (m) of 2, meaning that for every increase of 1 on the horizontal axis (x), the vertical axis (y) rises by 2. If Function A has a greater slope than Function B, it would mean that its slope is greater than 2.
To compare the slopes of functions, we look at the coefficient of the x term, which represents the slope or the 'rise over run'. If line A is described as an increasing line, then its slope would be positive. If it's steeper than Function B, its slope would have to be a number greater than 2. If Function A is a decreasing line, its slope would be negative, indicating that as x increases, y decreases.
In the context provided, without the specific equation for Function A, we cannot definitively state which line is steeper based on the slope alone. However, we can understand the concepts involved: a steeper line has a greater absolute value of its slope, and a positive slope indicates an increasing line.