Final answer:
The equation of the line is y = -1/2x - 4, which has a negative slope of -1/2 and intersects the y-axis at -4.
Step-by-step explanation:
The equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
In this case, the given slope is -1/2 and the y-intercept is -4.
So, the equation of the line is y = -1/2x - 4.
Therefore, the graph that matches this information is the one that shows a line with a negative slope of -1/2 and crosses the y-axis at -4.