EXPLANATION
Given the dot (-3,2) and the slope -2, we know that the generic equation of a line is:
y = mx + b
Replacing the given data in the equation:
2 = -2*(-3) + b
Multiplying terms:
2 = 6 + b
Subtracting -6 to both sides:
2-6 = b
Switching:
b = -4
Now, we have that b= -4
Then, replacing this on the equation:
y = -2x -4
Answer: the equation that represents the line that contanis the point (-3,2) with a slope of -2 is ------> y = -2x -4