Final answer:
When the x-coordinate changes by 11 in the equation y = -7x, the y-coordinate changes by -77. This is determined by plugging the change in the x-coordinate into the equation and calculating the difference in y.
Step-by-step explanation:
The equation given is y = -7x. We are asked to find the change in the output or y-coordinate when the input or x-coordinate changes by 11. To find this, we apply the change to the x-coordinate in the equation:
Initial output, when x is 0: y = -7(0) = 0
Output after change, when x changes by 11:
y = -7(x + 11) = -7(x) - 7(11) = -7x - 77
The change in y is the difference in the output: -77 - 0 = -77.
Therefore, when the x-coordinate changes by 11, the y-coordinate changes by -77, which corresponds to option D.