Answer:
B. The function shown on the graph has a smaller rate of change and a lower starting point.
Step-by-step explanation:
✍️The function y = 6x - 1, has:
slope (m) = 6, and
Starting point/y-intercept (b) = -1
✍️Let's find the slope (m) and the starting point (y-intercept) of the function shown on the graph:
Using the points, (0, -6) and (2, 4),
Slope = ![m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -(-6)}{2 - 0} = \frac{10}{2} = 5](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%3D%20%5Cfrac%7B4%20-%28-6%29%7D%7B2%20-%200%7D%20%3D%20%5Cfrac%7B10%7D%7B2%7D%20%3D%205%20)
Slope (m) = 5
The strating value is the value of y when x = 0. In order words, it is the point at which the line of the function intercepts the y-axis.
The y-axis is intercepted at y = -6.
Therefore, the starting value (b) = -6.
Therefore, the statement correctly compares the function shown on the graph above with the function y = 6x - 1 is:
B. The function shown on the graph has a smaller rate of change and a lower starting point.
Comparing their slopes, 5 is smaller than 6.
Comparing their starting points, -6 is lower than -1.