Final answer:
Function B is graphed with a steeper decline and lower starting point on the y-axis than Function A, which has a negative slope and starts higher on the y-axis.
Step-by-step explanation:
Comparing two functions, Function A (y = -3x + 4) is a straight line with a negative slope, meaning it is a decreasing line on a graph. Function B has a greater rate of change but a lower y-intercept than Function A. Therefore, Function B's graph will be steeper and declines faster than Function A's graph when moving from left to right on the x-axis. Additionally, Function B's y-intercept is below 4, which is the y-intercept of Function A.
The y-intercept represents the point where the line crosses the y-axis, or when x = 0. The slope (m) indicates the steepness of the line and is calculated as "rise over run". For Function A, the slope (-3) means that for every increase by one unit on the x-axis, the value of y decreases by three units. As Function B has a greater slope, its rise over run ratio is larger than 3, and since it has a lower y-intercept, it begins lower on the y-axis than 4.