Answer:
y = -3x - 11
Step-by-step explanation:
recall that the general equation for a line is:
y = mx + b, where m is the slope and b is the y-intercept
in this case, we are given that the slope is -3
hence the equation can be re-written as
y = -3x + b
We are also given that the line passes through (-1, -7). Substituting this point into the equation:
y = -3x + b
-7 = -3(-1) + b
-7 = 4 + b
b = -7 -4
b = -11 (substitute this back into the equation)
hence the equation is:
y = -3x - 11
