Answer:
y-6 = -3(x+1)
Step-by-step explanation:
The point-slope form of a line is the following:
y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.
In this case, m=-3 and (xo, yo) = (-1, 6).
Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)
In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:
y-6 = -3(x+1)