Question

Given y = -7x, if the input or x-coordinate changes by 11, what will the output or y-coordinate change by? Options:

A. -11/7,
B. -7,
C. -11,
D. -77

Answer 1

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.