Final answer:
The equation that represents the line passing through (-1, 6) with a slope of -3 is y = -3x + 3 (Option A).
Step-by-step explanation:
To find the equation of a line that passes through the point (-1, 6) and has a slope of -3, we can use the point-slope form of a linear equation, which is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Substituting the given values into the equation, we get y - 6 = -3(x - (-1)). Simplifying, we have y - 6 = -3(x + 1). Distributing the -3, we have y - 6 = -3x - 3. Adding 6 to both sides of the equation, we get y = -3x + 3.
Therefore, the equation that represents the line passing through (-1, 6) with a slope of -3 is y = -3x + 3 (Option A).