Final answer:
We cannot determine the slope of the equation y – 2 = f(x + 3) without knowing the specific form of f(x). The slope in an equation y = mx + b is represented by m, which is the rise over run. Without the explicit function f(x), we cannot provide the correct slope from the given options.
Step-by-step explanation:
The question asks about the slope of the given equation y – 2 = f(x + 3). From the information provided, we can ascertain that in the standard form y = mx + b, where m is the slope of a straight line, and b is the y-intercept. Unfortunately, the provided information lacks specific details regarding the function f(x), so we cannot determine the slope directly from the equation y – 2 = f(x + 3) without knowing the form of f(x). However, examples given show that the slope of a line is constant, denoted by m, and represents the rise over the run on a graph, with m being the coefficient before x in the line's equation.
Since we do not have that coefficient here, we cannot provide one of the given options as the correct answer. To find the slope, we would need to know the specific form of the function f(x). For instance, if the equation is in the same format as y = mx + b, and the coefficient in front of x is 3, like in the example provided, then the slope is 3. Without the explicit function f(x) or the coefficient of x, we cannot determine the slope choosing from the values -5/4, 5/4, -4/5, or 4/5.