Final answer:
The transformation with a negative value of k will vertically stretch or compress the graph of a linear function. A negative slope will still result in a downward-trending line, but the steepness may change according to the value of k.
Step-by-step explanation:
The question is about the effect of a transformation with a value of k<0 on the graph of a linear function with a negative slope. Graphically, a negative slope indicates that two variables are inversely related, meaning that if one variable increases, the other one decreases, and vice versa. In the context of a linear function, a negative slope causes the graph to fall as it moves from left to right.
If the transformation involves a negative value of k, commonly in the form of multiplication, this will lead to a vertical stretch or compression of the graph. If k is less than -1, the graph will be stretched, which results in steeper lines. If k is between 0 and -1, the graph will be compressed, resulting in a flatter line.