Final answer:
The given equations represent two asymptotes, which indicate a hyperbola.
Step-by-step explanation:
The given equations represent two lines in the form of y = mx + b, where m is the slope and b is the y-intercept. The equation y = 0.5x has a slope of 0.5 and a y-intercept of 0. The equation y = -4 - 1/2 x has a slope of -1/2 and a y-intercept of -4.
Based on the given information, these equations represent two asymptotes of a hyperbola. Asymptotes are lines that the graph of a hyperbola approaches but never touches. Therefore, the correct answer is (a) Hyperbola.