Final answer:
The equation of the line with a slope of -5 and a y-intercept of 8 is y = -5x + 8. We derive this equation using the slope-intercept form of the equation of a line, y = mx + b.
Step-by-step explanation:
In Mathematics, when we talk about the Equations of Lines, we often use the slope-intercept form of the line, which is represented as y = mx + b. In this form, 'm' represents the slope of the line and 'b' is the y-intercept. From the given characteristics, it stated that the slope is -5 (m = -5) and the y-intercept is 8 (b = 8).
Substituting these values into the general equation, we can get the specific equation of the line, which is y = -5x + 8.
Learn more about Equations of Lines here: