Final answer:
Without additional information about the function h(x), it is not possible to determine which equation represents it from the options provided. All options are linear equations but more context is needed to identify h(x).
Step-by-step explanation:
The question asks to determine which equation represents the function h(x). Since the question does not provide any additional specific criteria or points through which the function h(x) passes, it is not possible to determine which of the equations (A, B, C, or D) represents h(x) based on the information given. The function h(x) could be any linear equation, and without further context such as a graph, a table, or a description of the function's behavior, we cannot precisely identify which equation is represented by h(x).
It's important to also note that all the options provided are linear equations, as they can all be written in the standard form y = mx + b, where m is the slope and b is the y-intercept of the line. For instance, equation (A) h(x) = x - 3, has a slope of 1 and a y-intercept of -3. Similarly, equation (B) h(x) = -5x + 5 has a negative slope of -5 and a y-intercept of 5.