Final answer:
The equation of the line with a slope of -1/2 and a y-intercept of -4 is y = (-1/2)x - 4. This falls under Mathematics, specifically relating to linear functions in Algebra.
Step-by-step explanation:
To write a linear equation in slope-intercept form, you can use the formula y = mx + b, where m represents the slope and b represents the y-intercept.
Given that the slope (m) is -1/2 and the y-intercept (b) is -4, we can substitute these values directly into the slope-intercept form. So the equation of the line you're looking for is:
y = (-1/2)x - 4
This equation tells us that for every unit increase in x, the value of y decreases by half a unit because of the negative slope. It also indicates that the line crosses the y-axis at -4, which is the y-intercept.