Final answer:
The equation in slope-intercept form that represents a line with a slope of -3 and a y-intercept of 5 is y = -3x + 5.
Step-by-step explanation:
The equation that represents a line with a slope of -3 and a y-intercept of 5 is y = -3x + 5. This is in slope-intercept form, which is generally written as y = mx + b where m stands for the slope and b indicates the y-intercept. The negative slope indicates that the line will fall as it moves from left to right, and the positive y-intercept indicates that the line crosses the y-axis at the point (0, 5).