Final answer:
The equation of a line with slope -1 and y-intercept (0,-2) is y = -1x - 2, derived from the slope-intercept form of a linear equation.
Step-by-step explanation:
The student is asking for the equation of a line with a given slope of -1 and a y-intercept at (0,-2). In slope-intercept form, which is y = mx + b, m represents the slope and b represents the y-intercept. Thus, using the information provided, the equation of the line can be written as: y = -1x - 2
This equation demonstrates a linear relationship where the line decreases by 1 unit for every 1 unit it moves to the right along the horizontal axis, and it crosses the y-axis at -2. Remember, the coefficient of x is the slope, and the constant number is the y-intercept. So, the equation of the line is y = -1x - 2 or simply y = -x - 2.