Final answer:
The equation of a line with a slope of 1/4 and a y-intercept of -1/2 is y = (1/4)x - 1/2.
Step-by-step explanation:
The equation of a line in slope-intercept form is represented as y = mx + b, where m is the slope and b is the y-intercept. Given a slope of 1/4 and a y-intercept of -1/2, we can substitute these values directly into the slope-intercept form. Therefore, the equation of the line is:
y = (1/4)x - 1/2.
This equation shows that for every unit increase in x, y increases by 1/4, and the line crosses the y-axis at -1/2.